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Finding the Fourth Proportional to 309.15, 462.65 and 213.03

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Solution

The fourth proportional to 309.15, 462.65 and 213.03 is: 318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.15 : 462.65 = 213.03 : x
  2. Step 2: Convert to fraction form
    309.15/462.65 = 213.03/x
  3. Step 3: Cross multiply
    309.15x = 462.65 × 213.03
  4. Step 4: Simplify right side
    309.15x = 98,557.26
  5. Step 5: Solve for x
    x = 98,557.26/309.15
  6. Step 6: Final answer
    x = 318.80

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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.