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Finding the Fourth Proportional to 261.65, 392.57 and 99.31

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Solution

The fourth proportional to 261.65, 392.57 and 99.31 is: 149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.65 : 392.57 = 99.31 : x
  2. Step 2: Convert to fraction form
    261.65/392.57 = 99.31/x
  3. Step 3: Cross multiply
    261.65x = 392.57 × 99.31
  4. Step 4: Simplify right side
    261.65x = 38,986.13
  5. Step 5: Solve for x
    x = 38,986.13/261.65
  6. Step 6: Final answer
    x = 149.00

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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.