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Finding the Fourth Proportional to 154.24, 229.56 and 152.76

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Solution

The fourth proportional to 154.24, 229.56 and 152.76 is: 227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.24 : 229.56 = 152.76 : x
  2. Step 2: Convert to fraction form
    154.24/229.56 = 152.76/x
  3. Step 3: Cross multiply
    154.24x = 229.56 × 152.76
  4. Step 4: Simplify right side
    154.24x = 35,067.59
  5. Step 5: Solve for x
    x = 35,067.59/154.24
  6. Step 6: Final answer
    x = 227.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.