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Finding the Fourth Proportional to 547.31, 756.10 and 358.70

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Solution

The fourth proportional to 547.31, 756.10 and 358.70 is: 495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.31 : 756.10 = 358.70 : x
  2. Step 2: Convert to fraction form
    547.31/756.10 = 358.70/x
  3. Step 3: Cross multiply
    547.31x = 756.10 × 358.70
  4. Step 4: Simplify right side
    547.31x = 271,213.57
  5. Step 5: Solve for x
    x = 271,213.57/547.31
  6. Step 6: Final answer
    x = 495.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.