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Finding the Fourth Proportional to 354.45, 531.63 and 97.95

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Solution

The fourth proportional to 354.45, 531.63 and 97.95 is: 146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.45 : 531.63 = 97.95 : x
  2. Step 2: Convert to fraction form
    354.45/531.63 = 97.95/x
  3. Step 3: Cross multiply
    354.45x = 531.63 × 97.95
  4. Step 4: Simplify right side
    354.45x = 52,073.16
  5. Step 5: Solve for x
    x = 52,073.16/354.45
  6. Step 6: Final answer
    x = 146.91

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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.