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Finding the Fourth Proportional to 261.47, 391.51 and 169.89

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Solution

The fourth proportional to 261.47, 391.51 and 169.89 is: 254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.47 : 391.51 = 169.89 : x
  2. Step 2: Convert to fraction form
    261.47/391.51 = 169.89/x
  3. Step 3: Cross multiply
    261.47x = 391.51 × 169.89
  4. Step 4: Simplify right side
    261.47x = 66,513.63
  5. Step 5: Solve for x
    x = 66,513.63/261.47
  6. Step 6: Final answer
    x = 254.38

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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.