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Finding the Fourth Proportional to 154.14, 229.40 and 153.66

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Solution

The fourth proportional to 154.14, 229.40 and 153.66 is: 228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.14 : 229.40 = 153.66 : x
  2. Step 2: Convert to fraction form
    154.14/229.40 = 153.66/x
  3. Step 3: Cross multiply
    154.14x = 229.40 × 153.66
  4. Step 4: Simplify right side
    154.14x = 35,248.84
  5. Step 5: Solve for x
    x = 35,248.84/154.14
  6. Step 6: Final answer
    x = 228.68

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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.