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Finding the Fourth Proportional to 239.46, 359.54 and 148.53

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Solution

The fourth proportional to 239.46, 359.54 and 148.53 is: 223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.46 : 359.54 = 148.53 : x
  2. Step 2: Convert to fraction form
    239.46/359.54 = 148.53/x
  3. Step 3: Cross multiply
    239.46x = 359.54 × 148.53
  4. Step 4: Simplify right side
    239.46x = 53,401.73
  5. Step 5: Solve for x
    x = 53,401.73/239.46
  6. Step 6: Final answer
    x = 223.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.