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Finding the Fourth Proportional to 337.77, 465.89 and 285.66

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Solution

The fourth proportional to 337.77, 465.89 and 285.66 is: 394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.77 : 465.89 = 285.66 : x
  2. Step 2: Convert to fraction form
    337.77/465.89 = 285.66/x
  3. Step 3: Cross multiply
    337.77x = 465.89 × 285.66
  4. Step 4: Simplify right side
    337.77x = 133,084.71
  5. Step 5: Solve for x
    x = 133,084.71/337.77
  6. Step 6: Final answer
    x = 394.01

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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.