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Finding the Fourth Proportional to 315.46, 472.84 and 178.21

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Solution

The fourth proportional to 315.46, 472.84 and 178.21 is: 267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.46 : 472.84 = 178.21 : x
  2. Step 2: Convert to fraction form
    315.46/472.84 = 178.21/x
  3. Step 3: Cross multiply
    315.46x = 472.84 × 178.21
  4. Step 4: Simplify right side
    315.46x = 84,264.96
  5. Step 5: Solve for x
    x = 84,264.96/315.46
  6. Step 6: Final answer
    x = 267.12

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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.