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Finding the Fourth Proportional to 212.46, 317.28 and 171.78

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Solution

The fourth proportional to 212.46, 317.28 and 171.78 is: 256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.46 : 317.28 = 171.78 : x
  2. Step 2: Convert to fraction form
    212.46/317.28 = 171.78/x
  3. Step 3: Cross multiply
    212.46x = 317.28 × 171.78
  4. Step 4: Simplify right side
    212.46x = 54,502.36
  5. Step 5: Solve for x
    x = 54,502.36/212.46
  6. Step 6: Final answer
    x = 256.53

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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.