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Finding the Fourth Proportional to 261.09, 359.52 and 187.28

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Solution

The fourth proportional to 261.09, 359.52 and 187.28 is: 257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.09 : 359.52 = 187.28 : x
  2. Step 2: Convert to fraction form
    261.09/359.52 = 187.28/x
  3. Step 3: Cross multiply
    261.09x = 359.52 × 187.28
  4. Step 4: Simplify right side
    261.09x = 67,329.75
  5. Step 5: Solve for x
    x = 67,329.75/261.09
  6. Step 6: Final answer
    x = 257.88

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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.