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Finding the Fourth Proportional to 354.88, 532.16 and 138.40

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Solution

The fourth proportional to 354.88, 532.16 and 138.40 is: 207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.88 : 532.16 = 138.40 : x
  2. Step 2: Convert to fraction form
    354.88/532.16 = 138.40/x
  3. Step 3: Cross multiply
    354.88x = 532.16 × 138.40
  4. Step 4: Simplify right side
    354.88x = 73,650.94
  5. Step 5: Solve for x
    x = 73,650.94/354.88
  6. Step 6: Final answer
    x = 207.54

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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.