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Finding the Fourth Proportional to 488.92, 675.64 and 349.72

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Solution

The fourth proportional to 488.92, 675.64 and 349.72 is: 483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.92 : 675.64 = 349.72 : x
  2. Step 2: Convert to fraction form
    488.92/675.64 = 349.72/x
  3. Step 3: Cross multiply
    488.92x = 675.64 × 349.72
  4. Step 4: Simplify right side
    488.92x = 236,285.40
  5. Step 5: Solve for x
    x = 236,285.40/488.92
  6. Step 6: Final answer
    x = 483.28

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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.