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Finding the Fourth Proportional to 243.60, 337.74 and 240.72

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Solution

The fourth proportional to 243.60, 337.74 and 240.72 is: 333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.60 : 337.74 = 240.72 : x
  2. Step 2: Convert to fraction form
    243.60/337.74 = 240.72/x
  3. Step 3: Cross multiply
    243.60x = 337.74 × 240.72
  4. Step 4: Simplify right side
    243.60x = 81,300.77
  5. Step 5: Solve for x
    x = 81,300.77/243.60
  6. Step 6: Final answer
    x = 333.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.