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Finding the Fourth Proportional to 265.33, 395.15 and 260.20

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Solution

The fourth proportional to 265.33, 395.15 and 260.20 is: 387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.33 : 395.15 = 260.20 : x
  2. Step 2: Convert to fraction form
    265.33/395.15 = 260.20/x
  3. Step 3: Cross multiply
    265.33x = 395.15 × 260.20
  4. Step 4: Simplify right side
    265.33x = 102,818.03
  5. Step 5: Solve for x
    x = 102,818.03/265.33
  6. Step 6: Final answer
    x = 387.51

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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.