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Finding the Fourth Proportional to 410.06, 614.87 and 178.82

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Solution

The fourth proportional to 410.06, 614.87 and 178.82 is: 268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.06 : 614.87 = 178.82 : x
  2. Step 2: Convert to fraction form
    410.06/614.87 = 178.82/x
  3. Step 3: Cross multiply
    410.06x = 614.87 × 178.82
  4. Step 4: Simplify right side
    410.06x = 109,947.08
  5. Step 5: Solve for x
    x = 109,947.08/410.06
  6. Step 6: Final answer
    x = 268.13

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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.