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Finding the Fourth Proportional to 261.12, 392.04 and 235.56

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Solution

The fourth proportional to 261.12, 392.04 and 235.56 is: 353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.12 : 392.04 = 235.56 : x
  2. Step 2: Convert to fraction form
    261.12/392.04 = 235.56/x
  3. Step 3: Cross multiply
    261.12x = 392.04 × 235.56
  4. Step 4: Simplify right side
    261.12x = 92,348.94
  5. Step 5: Solve for x
    x = 92,348.94/261.12
  6. Step 6: Final answer
    x = 353.66

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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.