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Finding the Fourth Proportional to 154.07, 232.78 and 152.58

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Solution

The fourth proportional to 154.07, 232.78 and 152.58 is: 230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.07 : 232.78 = 152.58 : x
  2. Step 2: Convert to fraction form
    154.07/232.78 = 152.58/x
  3. Step 3: Cross multiply
    154.07x = 232.78 × 152.58
  4. Step 4: Simplify right side
    154.07x = 35,517.76
  5. Step 5: Solve for x
    x = 35,517.76/154.07
  6. Step 6: Final answer
    x = 230.54

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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.