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Finding the Fourth Proportional to 151.45, 207.64 and 148.72

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Solution

The fourth proportional to 151.45, 207.64 and 148.72 is: 203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.45 : 207.64 = 148.72 : x
  2. Step 2: Convert to fraction form
    151.45/207.64 = 148.72/x
  3. Step 3: Cross multiply
    151.45x = 207.64 × 148.72
  4. Step 4: Simplify right side
    151.45x = 30,879.26
  5. Step 5: Solve for x
    x = 30,879.26/151.45
  6. Step 6: Final answer
    x = 203.89

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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.