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Finding the Fourth Proportional to 410.14, 614.40 and 349.40

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Solution

The fourth proportional to 410.14, 614.40 and 349.40 is: 523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.14 : 614.40 = 349.40 : x
  2. Step 2: Convert to fraction form
    410.14/614.40 = 349.40/x
  3. Step 3: Cross multiply
    410.14x = 614.40 × 349.40
  4. Step 4: Simplify right side
    410.14x = 214,671.36
  5. Step 5: Solve for x
    x = 214,671.36/410.14
  6. Step 6: Final answer
    x = 523.41

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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.