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Finding the Fourth Proportional to 488.49, 732.91 and 214.55

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Solution

The fourth proportional to 488.49, 732.91 and 214.55 is: 321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.49 : 732.91 = 214.55 : x
  2. Step 2: Convert to fraction form
    488.49/732.91 = 214.55/x
  3. Step 3: Cross multiply
    488.49x = 732.91 × 214.55
  4. Step 4: Simplify right side
    488.49x = 157,241.64
  5. Step 5: Solve for x
    x = 157,241.64/488.49
  6. Step 6: Final answer
    x = 321.89

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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.