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Finding the Fourth Proportional to 90.43, 135.68 and 53.86

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Solution

The fourth proportional to 90.43, 135.68 and 53.86 is: 80.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.43 : 135.68 = 53.86 : x
  2. Step 2: Convert to fraction form
    90.43/135.68 = 53.86/x
  3. Step 3: Cross multiply
    90.43x = 135.68 × 53.86
  4. Step 4: Simplify right side
    90.43x = 7,307.85
  5. Step 5: Solve for x
    x = 7,307.85/90.43
  6. Step 6: Final answer
    x = 80.81

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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.