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Finding the Fourth Proportional to 259.71, 387.30 and 245.34

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Solution

The fourth proportional to 259.71, 387.30 and 245.34 is: 365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.71 : 387.30 = 245.34 : x
  2. Step 2: Convert to fraction form
    259.71/387.30 = 245.34/x
  3. Step 3: Cross multiply
    259.71x = 387.30 × 245.34
  4. Step 4: Simplify right side
    259.71x = 95,020.18
  5. Step 5: Solve for x
    x = 95,020.18/259.71
  6. Step 6: Final answer
    x = 365.87

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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.