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Finding the Fourth Proportional to 261.90, 360.85 and 174.42

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Solution

The fourth proportional to 261.90, 360.85 and 174.42 is: 240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.90 : 360.85 = 174.42 : x
  2. Step 2: Convert to fraction form
    261.90/360.85 = 174.42/x
  3. Step 3: Cross multiply
    261.90x = 360.85 × 174.42
  4. Step 4: Simplify right side
    261.90x = 62,939.46
  5. Step 5: Solve for x
    x = 62,939.46/261.90
  6. Step 6: Final answer
    x = 240.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.