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Finding the Fourth Proportional to 355.46, 532.71 and 264.33

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Solution

The fourth proportional to 355.46, 532.71 and 264.33 is: 396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.46 : 532.71 = 264.33 : x
  2. Step 2: Convert to fraction form
    355.46/532.71 = 264.33/x
  3. Step 3: Cross multiply
    355.46x = 532.71 × 264.33
  4. Step 4: Simplify right side
    355.46x = 140,811.23
  5. Step 5: Solve for x
    x = 140,811.23/355.46
  6. Step 6: Final answer
    x = 396.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.