Home / 301.02-412.28-297.78

Finding the Fourth Proportional to 301.02, 412.28 and 297.78

Calculator

Solution

The fourth proportional to 301.02, 412.28 and 297.78 is: 407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.02 : 412.28 = 297.78 : x
  2. Step 2: Convert to fraction form
    301.02/412.28 = 297.78/x
  3. Step 3: Cross multiply
    301.02x = 412.28 × 297.78
  4. Step 4: Simplify right side
    301.02x = 122,767.25
  5. Step 5: Solve for x
    x = 122,767.25/301.02
  6. Step 6: Final answer
    x = 407.84

Related Problems

Find fourth proportional to 150.51, 206.14 and 148.89
Half scale
Find fourth proportional to 602.04, 824.55 and 595.56
Double scale
Find fourth proportional to 302.02, 413.64 and 298.78
Similar ratio
Find fourth proportional to 451.53, 618.41 and 446.67
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.