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Finding the Fourth Proportional to 319.52, 481.32 and 317.90

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Solution

The fourth proportional to 319.52, 481.32 and 317.90 is: 478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.52 : 481.32 = 317.90 : x
  2. Step 2: Convert to fraction form
    319.52/481.32 = 317.90/x
  3. Step 3: Cross multiply
    319.52x = 481.32 × 317.90
  4. Step 4: Simplify right side
    319.52x = 153,011.63
  5. Step 5: Solve for x
    x = 153,011.63/319.52
  6. Step 6: Final answer
    x = 478.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.