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Finding the Fourth Proportional to 259.65, 387.17 and 248.37

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Solution

The fourth proportional to 259.65, 387.17 and 248.37 is: 370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.65 : 387.17 = 248.37 : x
  2. Step 2: Convert to fraction form
    259.65/387.17 = 248.37/x
  3. Step 3: Cross multiply
    259.65x = 387.17 × 248.37
  4. Step 4: Simplify right side
    259.65x = 96,160.17
  5. Step 5: Solve for x
    x = 96,160.17/259.65
  6. Step 6: Final answer
    x = 370.35

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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.