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Finding the Fourth Proportional to 154.54, 230.63 and 139.18

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Solution

The fourth proportional to 154.54, 230.63 and 139.18 is: 207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.54 : 230.63 = 139.18 : x
  2. Step 2: Convert to fraction form
    154.54/230.63 = 139.18/x
  3. Step 3: Cross multiply
    154.54x = 230.63 × 139.18
  4. Step 4: Simplify right side
    154.54x = 32,099.08
  5. Step 5: Solve for x
    x = 32,099.08/154.54
  6. Step 6: Final answer
    x = 207.71

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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.