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Finding the Fourth Proportional to 316.24, 474.76 and 193.12

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Solution

The fourth proportional to 316.24, 474.76 and 193.12 is: 289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.24 : 474.76 = 193.12 : x
  2. Step 2: Convert to fraction form
    316.24/474.76 = 193.12/x
  3. Step 3: Cross multiply
    316.24x = 474.76 × 193.12
  4. Step 4: Simplify right side
    316.24x = 91,685.65
  5. Step 5: Solve for x
    x = 91,685.65/316.24
  6. Step 6: Final answer
    x = 289.92

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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.