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Finding the Fourth Proportional to 325.18, 484.60 and 315.82

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Solution

The fourth proportional to 325.18, 484.60 and 315.82 is: 470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.18 : 484.60 = 315.82 : x
  2. Step 2: Convert to fraction form
    325.18/484.60 = 315.82/x
  3. Step 3: Cross multiply
    325.18x = 484.60 × 315.82
  4. Step 4: Simplify right side
    325.18x = 153,046.37
  5. Step 5: Solve for x
    x = 153,046.37/325.18
  6. Step 6: Final answer
    x = 470.65

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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.