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Finding the Fourth Proportional to 319.20, 476.20 and 315.10

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Solution

The fourth proportional to 319.20, 476.20 and 315.10 is: 470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.20 : 476.20 = 315.10 : x
  2. Step 2: Convert to fraction form
    319.20/476.20 = 315.10/x
  3. Step 3: Cross multiply
    319.20x = 476.20 × 315.10
  4. Step 4: Simplify right side
    319.20x = 150,050.62
  5. Step 5: Solve for x
    x = 150,050.62/319.20
  6. Step 6: Final answer
    x = 470.08

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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.