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Finding the Fourth Proportional to 102.04, 152.22 and 86.65

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Solution

The fourth proportional to 102.04, 152.22 and 86.65 is: 129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.04 : 152.22 = 86.65 : x
  2. Step 2: Convert to fraction form
    102.04/152.22 = 86.65/x
  3. Step 3: Cross multiply
    102.04x = 152.22 × 86.65
  4. Step 4: Simplify right side
    102.04x = 13,189.86
  5. Step 5: Solve for x
    x = 13,189.86/102.04
  6. Step 6: Final answer
    x = 129.26

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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.