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Finding the Fourth Proportional to 90.51, 135.78 and 41.79

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Solution

The fourth proportional to 90.51, 135.78 and 41.79 is: 62.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.51 : 135.78 = 41.79 : x
  2. Step 2: Convert to fraction form
    90.51/135.78 = 41.79/x
  3. Step 3: Cross multiply
    90.51x = 135.78 × 41.79
  4. Step 4: Simplify right side
    90.51x = 5,674.25
  5. Step 5: Solve for x
    x = 5,674.25/90.51
  6. Step 6: Final answer
    x = 62.69

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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.