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Finding the Fourth Proportional to 153.76, 213.13 and 151.48

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Solution

The fourth proportional to 153.76, 213.13 and 151.48 is: 209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.76 : 213.13 = 151.48 : x
  2. Step 2: Convert to fraction form
    153.76/213.13 = 151.48/x
  3. Step 3: Cross multiply
    153.76x = 213.13 × 151.48
  4. Step 4: Simplify right side
    153.76x = 32,284.93
  5. Step 5: Solve for x
    x = 32,284.93/153.76
  6. Step 6: Final answer
    x = 209.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.