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Finding the Fourth Proportional to 187, 280.56 and 95.62

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Solution

The fourth proportional to 187, 280.56 and 95.62 is: 143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187 : 280.56 = 95.62 : x
  2. Step 2: Convert to fraction form
    187/280.56 = 95.62/x
  3. Step 3: Cross multiply
    187x = 280.56 × 95.62
  4. Step 4: Simplify right side
    187x = 26,827.15
  5. Step 5: Solve for x
    x = 26,827.15/187
  6. Step 6: Final answer
    x = 143.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.