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Finding the Fourth Proportional to 315.34, 472.30 and 178.30

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Solution

The fourth proportional to 315.34, 472.30 and 178.30 is: 267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.34 : 472.30 = 178.30 : x
  2. Step 2: Convert to fraction form
    315.34/472.30 = 178.30/x
  3. Step 3: Cross multiply
    315.34x = 472.30 × 178.30
  4. Step 4: Simplify right side
    315.34x = 84,211.09
  5. Step 5: Solve for x
    x = 84,211.09/315.34
  6. Step 6: Final answer
    x = 267.05

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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.