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Finding the Fourth Proportional to 316.30, 474.69 and 213.34

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Solution

The fourth proportional to 316.30, 474.69 and 213.34 is: 320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.30 : 474.69 = 213.34 : x
  2. Step 2: Convert to fraction form
    316.30/474.69 = 213.34/x
  3. Step 3: Cross multiply
    316.30x = 474.69 × 213.34
  4. Step 4: Simplify right side
    316.30x = 101,270.36
  5. Step 5: Solve for x
    x = 101,270.36/316.30
  6. Step 6: Final answer
    x = 320.17

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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.