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Finding the Fourth Proportional to 242.64, 366.16 and 234.48

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Solution

The fourth proportional to 242.64, 366.16 and 234.48 is: 353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.64 : 366.16 = 234.48 : x
  2. Step 2: Convert to fraction form
    242.64/366.16 = 234.48/x
  3. Step 3: Cross multiply
    242.64x = 366.16 × 234.48
  4. Step 4: Simplify right side
    242.64x = 85,857.20
  5. Step 5: Solve for x
    x = 85,857.20/242.64
  6. Step 6: Final answer
    x = 353.85

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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.