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Finding the Fourth Proportional to 95.43, 142.97 and 90.77

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Solution

The fourth proportional to 95.43, 142.97 and 90.77 is: 135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.43 : 142.97 = 90.77 : x
  2. Step 2: Convert to fraction form
    95.43/142.97 = 90.77/x
  3. Step 3: Cross multiply
    95.43x = 142.97 × 90.77
  4. Step 4: Simplify right side
    95.43x = 12,977.02
  5. Step 5: Solve for x
    x = 12,977.02/95.43
  6. Step 6: Final answer
    x = 135.99

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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.