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Finding the Fourth Proportional to 90.86, 135.67 and 74.64

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Solution

The fourth proportional to 90.86, 135.67 and 74.64 is: 111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.86 : 135.67 = 74.64 : x
  2. Step 2: Convert to fraction form
    90.86/135.67 = 74.64/x
  3. Step 3: Cross multiply
    90.86x = 135.67 × 74.64
  4. Step 4: Simplify right side
    90.86x = 10,125.71
  5. Step 5: Solve for x
    x = 10,125.71/90.86
  6. Step 6: Final answer
    x = 111.45

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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.