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Finding the Fourth Proportional to 265.14, 394.88 and 263.59

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Solution

The fourth proportional to 265.14, 394.88 and 263.59 is: 392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.14 : 394.88 = 263.59 : x
  2. Step 2: Convert to fraction form
    265.14/394.88 = 263.59/x
  3. Step 3: Cross multiply
    265.14x = 394.88 × 263.59
  4. Step 4: Simplify right side
    265.14x = 104,084.11
  5. Step 5: Solve for x
    x = 104,084.11/265.14
  6. Step 6: Final answer
    x = 392.56

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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.