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Finding the Fourth Proportional to 148.76, 205.84 and 128.02

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Solution

The fourth proportional to 148.76, 205.84 and 128.02 is: 177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.76 : 205.84 = 128.02 : x
  2. Step 2: Convert to fraction form
    148.76/205.84 = 128.02/x
  3. Step 3: Cross multiply
    148.76x = 205.84 × 128.02
  4. Step 4: Simplify right side
    148.76x = 26,351.64
  5. Step 5: Solve for x
    x = 26,351.64/148.76
  6. Step 6: Final answer
    x = 177.14

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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.