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Finding the Fourth Proportional to 312.85, 469.02 and 203.27

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Solution

The fourth proportional to 312.85, 469.02 and 203.27 is: 304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.85 : 469.02 = 203.27 : x
  2. Step 2: Convert to fraction form
    312.85/469.02 = 203.27/x
  3. Step 3: Cross multiply
    312.85x = 469.02 × 203.27
  4. Step 4: Simplify right side
    312.85x = 95,337.70
  5. Step 5: Solve for x
    x = 95,337.70/312.85
  6. Step 6: Final answer
    x = 304.74

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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.