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Finding the Fourth Proportional to 151.44, 207.30 and 146.52

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Solution

The fourth proportional to 151.44, 207.30 and 146.52 is: 200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.44 : 207.30 = 146.52 : x
  2. Step 2: Convert to fraction form
    151.44/207.30 = 146.52/x
  3. Step 3: Cross multiply
    151.44x = 207.30 × 146.52
  4. Step 4: Simplify right side
    151.44x = 30,373.60
  5. Step 5: Solve for x
    x = 30,373.60/151.44
  6. Step 6: Final answer
    x = 200.57

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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.