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Finding the Fourth Proportional to 316.37, 474.07 and 213.29

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Solution

The fourth proportional to 316.37, 474.07 and 213.29 is: 319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.37 : 474.07 = 213.29 : x
  2. Step 2: Convert to fraction form
    316.37/474.07 = 213.29/x
  3. Step 3: Cross multiply
    316.37x = 474.07 × 213.29
  4. Step 4: Simplify right side
    316.37x = 101,113.32
  5. Step 5: Solve for x
    x = 101,113.32/316.37
  6. Step 6: Final answer
    x = 319.60

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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.