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Finding the Fourth Proportional to 264.80, 395.17 and 263.32

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Solution

The fourth proportional to 264.80, 395.17 and 263.32 is: 392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.80 : 395.17 = 263.32 : x
  2. Step 2: Convert to fraction form
    264.80/395.17 = 263.32/x
  3. Step 3: Cross multiply
    264.80x = 395.17 × 263.32
  4. Step 4: Simplify right side
    264.80x = 104,056.16
  5. Step 5: Solve for x
    x = 104,056.16/264.80
  6. Step 6: Final answer
    x = 392.96

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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.