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Finding the Fourth Proportional to 488.00, 731.50 and 279.50

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Solution

The fourth proportional to 488.00, 731.50 and 279.50 is: 418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.00 : 731.50 = 279.50 : x
  2. Step 2: Convert to fraction form
    488.00/731.50 = 279.50/x
  3. Step 3: Cross multiply
    488.00x = 731.50 × 279.50
  4. Step 4: Simplify right side
    488.00x = 204,455.38
  5. Step 5: Solve for x
    x = 204,455.38/488.00
  6. Step 6: Final answer
    x = 418.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.