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Finding the Fourth Proportional to 488, 731.92 and 214.40

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Solution

The fourth proportional to 488, 731.92 and 214.40 is: 321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    488 : 731.92 = 214.40 : x
  2. Step 2: Convert to fraction form
    488/731.92 = 214.40/x
  3. Step 3: Cross multiply
    488x = 731.92 × 214.40
  4. Step 4: Simplify right side
    488x = 156,923.65
  5. Step 5: Solve for x
    x = 156,923.65/488
  6. Step 6: Final answer
    x = 321.56

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