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Finding the Fourth Proportional to 261.91, 393.72 and 242.88

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Solution

The fourth proportional to 261.91, 393.72 and 242.88 is: 365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.91 : 393.72 = 242.88 : x
  2. Step 2: Convert to fraction form
    261.91/393.72 = 242.88/x
  3. Step 3: Cross multiply
    261.91x = 393.72 × 242.88
  4. Step 4: Simplify right side
    261.91x = 95,624.33
  5. Step 5: Solve for x
    x = 95,624.33/261.91
  6. Step 6: Final answer
    x = 365.10

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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.