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Finding the Fourth Proportional to 409.40, 614.06 and 178.17

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Solution

The fourth proportional to 409.40, 614.06 and 178.17 is: 267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.40 : 614.06 = 178.17 : x
  2. Step 2: Convert to fraction form
    409.40/614.06 = 178.17/x
  3. Step 3: Cross multiply
    409.40x = 614.06 × 178.17
  4. Step 4: Simplify right side
    409.40x = 109,406.18
  5. Step 5: Solve for x
    x = 109,406.18/409.40
  6. Step 6: Final answer
    x = 267.24

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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.