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Finding the Fourth Proportional to 152.22, 209.13 and 136.02

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Solution

The fourth proportional to 152.22, 209.13 and 136.02 is: 186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.22 : 209.13 = 136.02 : x
  2. Step 2: Convert to fraction form
    152.22/209.13 = 136.02/x
  3. Step 3: Cross multiply
    152.22x = 209.13 × 136.02
  4. Step 4: Simplify right side
    152.22x = 28,445.86
  5. Step 5: Solve for x
    x = 28,445.86/152.22
  6. Step 6: Final answer
    x = 186.87

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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.