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Finding the Fourth Proportional to 337.77, 465.35 and 282.29

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Solution

The fourth proportional to 337.77, 465.35 and 282.29 is: 388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.77 : 465.35 = 282.29 : x
  2. Step 2: Convert to fraction form
    337.77/465.35 = 282.29/x
  3. Step 3: Cross multiply
    337.77x = 465.35 × 282.29
  4. Step 4: Simplify right side
    337.77x = 131,359.91
  5. Step 5: Solve for x
    x = 131,359.91/337.77
  6. Step 6: Final answer
    x = 388.90

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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.