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Finding the Fourth Proportional to 263.38, 392.15 and 259.48

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Solution

The fourth proportional to 263.38, 392.15 and 259.48 is: 386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.38 : 392.15 = 259.48 : x
  2. Step 2: Convert to fraction form
    263.38/392.15 = 259.48/x
  3. Step 3: Cross multiply
    263.38x = 392.15 × 259.48
  4. Step 4: Simplify right side
    263.38x = 101,755.08
  5. Step 5: Solve for x
    x = 101,755.08/263.38
  6. Step 6: Final answer
    x = 386.34

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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.