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Finding the Fourth Proportional to 259.72, 387.08 and 246.76

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Solution

The fourth proportional to 259.72, 387.08 and 246.76 is: 367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.72 : 387.08 = 246.76 : x
  2. Step 2: Convert to fraction form
    259.72/387.08 = 246.76/x
  3. Step 3: Cross multiply
    259.72x = 387.08 × 246.76
  4. Step 4: Simplify right side
    259.72x = 95,515.86
  5. Step 5: Solve for x
    x = 95,515.86/259.72
  6. Step 6: Final answer
    x = 367.76

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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.