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Finding the Fourth Proportional to 261.14, 359.71 and 187.31

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Solution

The fourth proportional to 261.14, 359.71 and 187.31 is: 258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.14 : 359.71 = 187.31 : x
  2. Step 2: Convert to fraction form
    261.14/359.71 = 187.31/x
  3. Step 3: Cross multiply
    261.14x = 359.71 × 187.31
  4. Step 4: Simplify right side
    261.14x = 67,377.71
  5. Step 5: Solve for x
    x = 67,377.71/261.14
  6. Step 6: Final answer
    x = 258.02

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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.