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Finding the Fourth Proportional to 281.34, 387.86 and 187.92

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Solution

The fourth proportional to 281.34, 387.86 and 187.92 is: 259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.34 : 387.86 = 187.92 : x
  2. Step 2: Convert to fraction form
    281.34/387.86 = 187.92/x
  3. Step 3: Cross multiply
    281.34x = 387.86 × 187.92
  4. Step 4: Simplify right side
    281.34x = 72,885.71
  5. Step 5: Solve for x
    x = 72,885.71/281.34
  6. Step 6: Final answer
    x = 259.07

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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.