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Finding the Fourth Proportional to 154.18, 229.58 and 152.46

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Solution

The fourth proportional to 154.18, 229.58 and 152.46 is: 227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.18 : 229.58 = 152.46 : x
  2. Step 2: Convert to fraction form
    154.18/229.58 = 152.46/x
  3. Step 3: Cross multiply
    154.18x = 229.58 × 152.46
  4. Step 4: Simplify right side
    154.18x = 35,001.77
  5. Step 5: Solve for x
    x = 35,001.77/154.18
  6. Step 6: Final answer
    x = 227.02

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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.