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Finding the Fourth Proportional to 109.40, 151.01 and 72.65

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Solution

The fourth proportional to 109.40, 151.01 and 72.65 is: 100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.40 : 151.01 = 72.65 : x
  2. Step 2: Convert to fraction form
    109.40/151.01 = 72.65/x
  3. Step 3: Cross multiply
    109.40x = 151.01 × 72.65
  4. Step 4: Simplify right side
    109.40x = 10,970.72
  5. Step 5: Solve for x
    x = 10,970.72/109.40
  6. Step 6: Final answer
    x = 100.28

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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.