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Finding the Fourth Proportional to 261.79, 392.85 and 99.49

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Solution

The fourth proportional to 261.79, 392.85 and 99.49 is: 149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.79 : 392.85 = 99.49 : x
  2. Step 2: Convert to fraction form
    261.79/392.85 = 99.49/x
  3. Step 3: Cross multiply
    261.79x = 392.85 × 99.49
  4. Step 4: Simplify right side
    261.79x = 39,084.65
  5. Step 5: Solve for x
    x = 39,084.65/261.79
  6. Step 6: Final answer
    x = 149.30

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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.