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Finding the Fourth Proportional to 240.50, 332.05 and 148.66

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Solution

The fourth proportional to 240.50, 332.05 and 148.66 is: 205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.50 : 332.05 = 148.66 : x
  2. Step 2: Convert to fraction form
    240.50/332.05 = 148.66/x
  3. Step 3: Cross multiply
    240.50x = 332.05 × 148.66
  4. Step 4: Simplify right side
    240.50x = 49,362.55
  5. Step 5: Solve for x
    x = 49,362.55/240.50
  6. Step 6: Final answer
    x = 205.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.