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Finding the Fourth Proportional to 261, 360.62 and 187.18

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Solution

The fourth proportional to 261, 360.62 and 187.18 is: 258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261 : 360.62 = 187.18 : x
  2. Step 2: Convert to fraction form
    261/360.62 = 187.18/x
  3. Step 3: Cross multiply
    261x = 360.62 × 187.18
  4. Step 4: Simplify right side
    261x = 67,500.85
  5. Step 5: Solve for x
    x = 67,500.85/261
  6. Step 6: Final answer
    x = 258.62

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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.