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Finding the Fourth Proportional to 316.29, 474.48 and 193.11

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Solution

The fourth proportional to 316.29, 474.48 and 193.11 is: 289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.29 : 474.48 = 193.11 : x
  2. Step 2: Convert to fraction form
    316.29/474.48 = 193.11/x
  3. Step 3: Cross multiply
    316.29x = 474.48 × 193.11
  4. Step 4: Simplify right side
    316.29x = 91,626.83
  5. Step 5: Solve for x
    x = 91,626.83/316.29
  6. Step 6: Final answer
    x = 289.69

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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.