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Finding the Fourth Proportional to 462.11, 693.19 and 202.12

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Solution

The fourth proportional to 462.11, 693.19 and 202.12 is: 303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.11 : 693.19 = 202.12 : x
  2. Step 2: Convert to fraction form
    462.11/693.19 = 202.12/x
  3. Step 3: Cross multiply
    462.11x = 693.19 × 202.12
  4. Step 4: Simplify right side
    462.11x = 140,108.03
  5. Step 5: Solve for x
    x = 140,108.03/462.11
  6. Step 6: Final answer
    x = 303.20

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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.