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Finding the Fourth Proportional to 153.75, 211.95 and 132.92

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Solution

The fourth proportional to 153.75, 211.95 and 132.92 is: 183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.75 : 211.95 = 132.92 : x
  2. Step 2: Convert to fraction form
    153.75/211.95 = 132.92/x
  3. Step 3: Cross multiply
    153.75x = 211.95 × 132.92
  4. Step 4: Simplify right side
    153.75x = 28,172.39
  5. Step 5: Solve for x
    x = 28,172.39/153.75
  6. Step 6: Final answer
    x = 183.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.