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Finding the Fourth Proportional to 187.81, 280.05 and 174.82

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Solution

The fourth proportional to 187.81, 280.05 and 174.82 is: 260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.81 : 280.05 = 174.82 : x
  2. Step 2: Convert to fraction form
    187.81/280.05 = 174.82/x
  3. Step 3: Cross multiply
    187.81x = 280.05 × 174.82
  4. Step 4: Simplify right side
    187.81x = 48,959.48
  5. Step 5: Solve for x
    x = 48,959.48/187.81
  6. Step 6: Final answer
    x = 260.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.