Home / 412.47-618.98-310

Finding the Fourth Proportional to 412.47, 618.98 and 310

Calculator

Solution

The fourth proportional to 412.47, 618.98 and 310 is: 465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.47 : 618.98 = 310 : x
  2. Step 2: Convert to fraction form
    412.47/618.98 = 310/x
  3. Step 3: Cross multiply
    412.47x = 618.98 × 310
  4. Step 4: Simplify right side
    412.47x = 191,883.80
  5. Step 5: Solve for x
    x = 191,883.80/412.47
  6. Step 6: Final answer
    x = 465.21

Related Problems

Find fourth proportional to 206.24, 309.49 and 155
Half scale
Find fourth proportional to 824.94, 1,237.96 and 620
Double scale
Find fourth proportional to 413.47, 620.48 and 311
Similar ratio
Find fourth proportional to 618.71, 928.47 and 465
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.