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Finding the Fourth Proportional to 473.47, 710.22 and 213.19

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Solution

The fourth proportional to 473.47, 710.22 and 213.19 is: 319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.47 : 710.22 = 213.19 : x
  2. Step 2: Convert to fraction form
    473.47/710.22 = 213.19/x
  3. Step 3: Cross multiply
    473.47x = 710.22 × 213.19
  4. Step 4: Simplify right side
    473.47x = 151,408.25
  5. Step 5: Solve for x
    x = 151,408.25/473.47
  6. Step 6: Final answer
    x = 319.79

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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.