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Finding the Fourth Proportional to 285.13, 428.10 and 212.23

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Solution

The fourth proportional to 285.13, 428.10 and 212.23 is: 318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.13 : 428.10 = 212.23 : x
  2. Step 2: Convert to fraction form
    285.13/428.10 = 212.23/x
  3. Step 3: Cross multiply
    285.13x = 428.10 × 212.23
  4. Step 4: Simplify right side
    285.13x = 90,855.66
  5. Step 5: Solve for x
    x = 90,855.66/285.13
  6. Step 6: Final answer
    x = 318.65

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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.