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Finding the Fourth Proportional to 488.21, 732.51 and 214.46

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Solution

The fourth proportional to 488.21, 732.51 and 214.46 is: 321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.21 : 732.51 = 214.46 : x
  2. Step 2: Convert to fraction form
    488.21/732.51 = 214.46/x
  3. Step 3: Cross multiply
    488.21x = 732.51 × 214.46
  4. Step 4: Simplify right side
    488.21x = 157,094.09
  5. Step 5: Solve for x
    x = 157,094.09/488.21
  6. Step 6: Final answer
    x = 321.78

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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.