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Finding the Fourth Proportional to 316.78, 474.40 and 154.06

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Solution

The fourth proportional to 316.78, 474.40 and 154.06 is: 230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.78 : 474.40 = 154.06 : x
  2. Step 2: Convert to fraction form
    316.78/474.40 = 154.06/x
  3. Step 3: Cross multiply
    316.78x = 474.40 × 154.06
  4. Step 4: Simplify right side
    316.78x = 73,086.06
  5. Step 5: Solve for x
    x = 73,086.06/316.78
  6. Step 6: Final answer
    x = 230.72

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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.