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Finding the Fourth Proportional to 316.45, 473.78 and 213.53

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Solution

The fourth proportional to 316.45, 473.78 and 213.53 is: 319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.45 : 473.78 = 213.53 : x
  2. Step 2: Convert to fraction form
    316.45/473.78 = 213.53/x
  3. Step 3: Cross multiply
    316.45x = 473.78 × 213.53
  4. Step 4: Simplify right side
    316.45x = 101,166.24
  5. Step 5: Solve for x
    x = 101,166.24/316.45
  6. Step 6: Final answer
    x = 319.69

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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.