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Finding the Fourth Proportional to 337.76, 465.84 and 284.40

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Solution

The fourth proportional to 337.76, 465.84 and 284.40 is: 392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.76 : 465.84 = 284.40 : x
  2. Step 2: Convert to fraction form
    337.76/465.84 = 284.40/x
  3. Step 3: Cross multiply
    337.76x = 465.84 × 284.40
  4. Step 4: Simplify right side
    337.76x = 132,484.90
  5. Step 5: Solve for x
    x = 132,484.90/337.76
  6. Step 6: Final answer
    x = 392.25

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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.