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Finding the Fourth Proportional to 414.88, 572.88 and 284.32

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Solution

The fourth proportional to 414.88, 572.88 and 284.32 is: 392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.88 : 572.88 = 284.32 : x
  2. Step 2: Convert to fraction form
    414.88/572.88 = 284.32/x
  3. Step 3: Cross multiply
    414.88x = 572.88 × 284.32
  4. Step 4: Simplify right side
    414.88x = 162,881.24
  5. Step 5: Solve for x
    x = 162,881.24/414.88
  6. Step 6: Final answer
    x = 392.60

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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.