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Finding the Fourth Proportional to 95.49, 142.34 and 90.86

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Solution

The fourth proportional to 95.49, 142.34 and 90.86 is: 135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.49 : 142.34 = 90.86 : x
  2. Step 2: Convert to fraction form
    95.49/142.34 = 90.86/x
  3. Step 3: Cross multiply
    95.49x = 142.34 × 90.86
  4. Step 4: Simplify right side
    95.49x = 12,931.85
  5. Step 5: Solve for x
    x = 12,931.85/95.49
  6. Step 6: Final answer
    x = 135.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.