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Finding the Fourth Proportional to 316.74, 474.71 and 213.78

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Solution

The fourth proportional to 316.74, 474.71 and 213.78 is: 320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.74 : 474.71 = 213.78 : x
  2. Step 2: Convert to fraction form
    316.74/474.71 = 213.78/x
  3. Step 3: Cross multiply
    316.74x = 474.71 × 213.78
  4. Step 4: Simplify right side
    316.74x = 101,482.43
  5. Step 5: Solve for x
    x = 101,482.43/316.74
  6. Step 6: Final answer
    x = 320.40

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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.