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Finding the Fourth Proportional to 109.64, 151.37 and 74.68

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Solution

The fourth proportional to 109.64, 151.37 and 74.68 is: 103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.64 : 151.37 = 74.68 : x
  2. Step 2: Convert to fraction form
    109.64/151.37 = 74.68/x
  3. Step 3: Cross multiply
    109.64x = 151.37 × 74.68
  4. Step 4: Simplify right side
    109.64x = 11,304.31
  5. Step 5: Solve for x
    x = 11,304.31/109.64
  6. Step 6: Final answer
    x = 103.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.