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Finding the Fourth Proportional to 261.24, 392.31 and 193.20

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Solution

The fourth proportional to 261.24, 392.31 and 193.20 is: 290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.24 : 392.31 = 193.20 : x
  2. Step 2: Convert to fraction form
    261.24/392.31 = 193.20/x
  3. Step 3: Cross multiply
    261.24x = 392.31 × 193.20
  4. Step 4: Simplify right side
    261.24x = 75,794.29
  5. Step 5: Solve for x
    x = 75,794.29/261.24
  6. Step 6: Final answer
    x = 290.13

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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.