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Finding the Fourth Proportional to 153.24, 231.16 and 148.38

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Solution

The fourth proportional to 153.24, 231.16 and 148.38 is: 223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.24 : 231.16 = 148.38 : x
  2. Step 2: Convert to fraction form
    153.24/231.16 = 148.38/x
  3. Step 3: Cross multiply
    153.24x = 231.16 × 148.38
  4. Step 4: Simplify right side
    153.24x = 34,299.52
  5. Step 5: Solve for x
    x = 34,299.52/153.24
  6. Step 6: Final answer
    x = 223.83

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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.