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Finding the Fourth Proportional to 320.20, 477.68 and 316.10

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Solution

The fourth proportional to 320.20, 477.68 and 316.10 is: 471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.20 : 477.68 = 316.10 : x
  2. Step 2: Convert to fraction form
    320.20/477.68 = 316.10/x
  3. Step 3: Cross multiply
    320.20x = 477.68 × 316.10
  4. Step 4: Simplify right side
    320.20x = 150,994.65
  5. Step 5: Solve for x
    x = 150,994.65/320.20
  6. Step 6: Final answer
    x = 471.56

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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.