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Finding the Fourth Proportional to 152.54, 229.66 and 104.76

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Solution

The fourth proportional to 152.54, 229.66 and 104.76 is: 157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.54 : 229.66 = 104.76 : x
  2. Step 2: Convert to fraction form
    152.54/229.66 = 104.76/x
  3. Step 3: Cross multiply
    152.54x = 229.66 × 104.76
  4. Step 4: Simplify right side
    152.54x = 24,058.66
  5. Step 5: Solve for x
    x = 24,058.66/152.54
  6. Step 6: Final answer
    x = 157.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.