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Finding the Fourth Proportional to 410.32, 614.80 and 288.37

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Solution

The fourth proportional to 410.32, 614.80 and 288.37 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.32 : 614.80 = 288.37 : x
  2. Step 2: Convert to fraction form
    410.32/614.80 = 288.37/x
  3. Step 3: Cross multiply
    410.32x = 614.80 × 288.37
  4. Step 4: Simplify right side
    410.32x = 177,288.46
  5. Step 5: Solve for x
    x = 177,288.46/410.32
  6. Step 6: Final answer
    x = 432.07

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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.