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Finding the Fourth Proportional to 322.58, 481.95 and 315.29

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Solution

The fourth proportional to 322.58, 481.95 and 315.29 is: 471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.58 : 481.95 = 315.29 : x
  2. Step 2: Convert to fraction form
    322.58/481.95 = 315.29/x
  3. Step 3: Cross multiply
    322.58x = 481.95 × 315.29
  4. Step 4: Simplify right side
    322.58x = 151,955.22
  5. Step 5: Solve for x
    x = 151,955.22/322.58
  6. Step 6: Final answer
    x = 471.06

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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.