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Finding the Fourth Proportional to 488.92, 675.12 and 349.47

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Solution

The fourth proportional to 488.92, 675.12 and 349.47 is: 482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.92 : 675.12 = 349.47 : x
  2. Step 2: Convert to fraction form
    488.92/675.12 = 349.47/x
  3. Step 3: Cross multiply
    488.92x = 675.12 × 349.47
  4. Step 4: Simplify right side
    488.92x = 235,934.19
  5. Step 5: Solve for x
    x = 235,934.19/488.92
  6. Step 6: Final answer
    x = 482.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.