Home / 357.28-493.02-202

Finding the Fourth Proportional to 357.28, 493.02 and 202

Calculator

Solution

The fourth proportional to 357.28, 493.02 and 202 is: 278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.28 : 493.02 = 202 : x
  2. Step 2: Convert to fraction form
    357.28/493.02 = 202/x
  3. Step 3: Cross multiply
    357.28x = 493.02 × 202
  4. Step 4: Simplify right side
    357.28x = 99,590.04
  5. Step 5: Solve for x
    x = 99,590.04/357.28
  6. Step 6: Final answer
    x = 278.75

Related Problems

Find fourth proportional to 178.64, 246.51 and 101
Half scale
Find fourth proportional to 714.56, 986.04 and 404
Double scale
Find fourth proportional to 358.28, 494.40 and 203
Similar ratio
Find fourth proportional to 535.92, 739.53 and 303
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.