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Finding the Fourth Proportional to 370.29, 557.95 and 306.71

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Solution

The fourth proportional to 370.29, 557.95 and 306.71 is: 462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.29 : 557.95 = 306.71 : x
  2. Step 2: Convert to fraction form
    370.29/557.95 = 306.71/x
  3. Step 3: Cross multiply
    370.29x = 557.95 × 306.71
  4. Step 4: Simplify right side
    370.29x = 171,128.84
  5. Step 5: Solve for x
    x = 171,128.84/370.29
  6. Step 6: Final answer
    x = 462.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.