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Finding the Fourth Proportional to 602.38, 831.11 and 366.13

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Solution

The fourth proportional to 602.38, 831.11 and 366.13 is: 505.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.38 : 831.11 = 366.13 : x
  2. Step 2: Convert to fraction form
    602.38/831.11 = 366.13/x
  3. Step 3: Cross multiply
    602.38x = 831.11 × 366.13
  4. Step 4: Simplify right side
    602.38x = 304,293.14
  5. Step 5: Solve for x
    x = 304,293.14/602.38
  6. Step 6: Final answer
    x = 505.15

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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.