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Finding the Fourth Proportional to 261.63, 360.56 and 187.83

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Solution

The fourth proportional to 261.63, 360.56 and 187.83 is: 258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.63 : 360.56 = 187.83 : x
  2. Step 2: Convert to fraction form
    261.63/360.56 = 187.83/x
  3. Step 3: Cross multiply
    261.63x = 360.56 × 187.83
  4. Step 4: Simplify right side
    261.63x = 67,723.05
  5. Step 5: Solve for x
    x = 67,723.05/261.63
  6. Step 6: Final answer
    x = 258.85

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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.