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Finding the Fourth Proportional to 153.66, 231.72 and 142.41

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Solution

The fourth proportional to 153.66, 231.72 and 142.41 is: 214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.66 : 231.72 = 142.41 : x
  2. Step 2: Convert to fraction form
    153.66/231.72 = 142.41/x
  3. Step 3: Cross multiply
    153.66x = 231.72 × 142.41
  4. Step 4: Simplify right side
    153.66x = 32,999.25
  5. Step 5: Solve for x
    x = 32,999.25/153.66
  6. Step 6: Final answer
    x = 214.75

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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.