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Finding the Fourth Proportional to 259.72, 387.68 and 228.97

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Solution

The fourth proportional to 259.72, 387.68 and 228.97 is: 341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.72 : 387.68 = 228.97 : x
  2. Step 2: Convert to fraction form
    259.72/387.68 = 228.97/x
  3. Step 3: Cross multiply
    259.72x = 387.68 × 228.97
  4. Step 4: Simplify right side
    259.72x = 88,765.64
  5. Step 5: Solve for x
    x = 88,765.64/259.72
  6. Step 6: Final answer
    x = 341.77

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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.