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Finding the Fourth Proportional to 316.10, 470.62 and 311.54

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Solution

The fourth proportional to 316.10, 470.62 and 311.54 is: 463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.10 : 470.62 = 311.54 : x
  2. Step 2: Convert to fraction form
    316.10/470.62 = 311.54/x
  3. Step 3: Cross multiply
    316.10x = 470.62 × 311.54
  4. Step 4: Simplify right side
    316.10x = 146,617.35
  5. Step 5: Solve for x
    x = 146,617.35/316.10
  6. Step 6: Final answer
    x = 463.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.