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Finding the Fourth Proportional to 90.38, 135.47 and 53.83

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Solution

The fourth proportional to 90.38, 135.47 and 53.83 is: 80.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.38 : 135.47 = 53.83 : x
  2. Step 2: Convert to fraction form
    90.38/135.47 = 53.83/x
  3. Step 3: Cross multiply
    90.38x = 135.47 × 53.83
  4. Step 4: Simplify right side
    90.38x = 7,292.65
  5. Step 5: Solve for x
    x = 7,292.65/90.38
  6. Step 6: Final answer
    x = 80.69

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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.