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Finding the Fourth Proportional to 154.78, 233.32 and 152.62

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Solution

The fourth proportional to 154.78, 233.32 and 152.62 is: 230.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.78 : 233.32 = 152.62 : x
  2. Step 2: Convert to fraction form
    154.78/233.32 = 152.62/x
  3. Step 3: Cross multiply
    154.78x = 233.32 × 152.62
  4. Step 4: Simplify right side
    154.78x = 35,609.30
  5. Step 5: Solve for x
    x = 35,609.30/154.78
  6. Step 6: Final answer
    x = 230.06

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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.