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Finding the Fourth Proportional to 337.07, 508.13 and 314.77

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Solution

The fourth proportional to 337.07, 508.13 and 314.77 is: 474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.07 : 508.13 = 314.77 : x
  2. Step 2: Convert to fraction form
    337.07/508.13 = 314.77/x
  3. Step 3: Cross multiply
    337.07x = 508.13 × 314.77
  4. Step 4: Simplify right side
    337.07x = 159,944.08
  5. Step 5: Solve for x
    x = 159,944.08/337.07
  6. Step 6: Final answer
    x = 474.51

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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.