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Finding the Fourth Proportional to 410.32, 614.62 and 286.88

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Solution

The fourth proportional to 410.32, 614.62 and 286.88 is: 429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.32 : 614.62 = 286.88 : x
  2. Step 2: Convert to fraction form
    410.32/614.62 = 286.88/x
  3. Step 3: Cross multiply
    410.32x = 614.62 × 286.88
  4. Step 4: Simplify right side
    410.32x = 176,322.19
  5. Step 5: Solve for x
    x = 176,322.19/410.32
  6. Step 6: Final answer
    x = 429.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.