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Finding the Fourth Proportional to 154.75, 233.49 and 153.53

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Solution

The fourth proportional to 154.75, 233.49 and 153.53 is: 231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.75 : 233.49 = 153.53 : x
  2. Step 2: Convert to fraction form
    154.75/233.49 = 153.53/x
  3. Step 3: Cross multiply
    154.75x = 233.49 × 153.53
  4. Step 4: Simplify right side
    154.75x = 35,848.30
  5. Step 5: Solve for x
    x = 35,848.30/154.75
  6. Step 6: Final answer
    x = 231.66

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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.