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Finding the Fourth Proportional to 154.36, 230.12 and 139.78

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Solution

The fourth proportional to 154.36, 230.12 and 139.78 is: 208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.36 : 230.12 = 139.78 : x
  2. Step 2: Convert to fraction form
    154.36/230.12 = 139.78/x
  3. Step 3: Cross multiply
    154.36x = 230.12 × 139.78
  4. Step 4: Simplify right side
    154.36x = 32,166.17
  5. Step 5: Solve for x
    x = 32,166.17/154.36
  6. Step 6: Final answer
    x = 208.38

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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.