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Finding the Fourth Proportional to 151.12, 207.10 and 149.22

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Solution

The fourth proportional to 151.12, 207.10 and 149.22 is: 204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.12 : 207.10 = 149.22 : x
  2. Step 2: Convert to fraction form
    151.12/207.10 = 149.22/x
  3. Step 3: Cross multiply
    151.12x = 207.10 × 149.22
  4. Step 4: Simplify right side
    151.12x = 30,903.46
  5. Step 5: Solve for x
    x = 30,903.46/151.12
  6. Step 6: Final answer
    x = 204.50

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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.