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Finding the Fourth Proportional to 100.65, 137.67 and 100.24

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Solution

The fourth proportional to 100.65, 137.67 and 100.24 is: 137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.65 : 137.67 = 100.24 : x
  2. Step 2: Convert to fraction form
    100.65/137.67 = 100.24/x
  3. Step 3: Cross multiply
    100.65x = 137.67 × 100.24
  4. Step 4: Simplify right side
    100.65x = 13,800.04
  5. Step 5: Solve for x
    x = 13,800.04/100.65
  6. Step 6: Final answer
    x = 137.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.