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Finding the Fourth Proportional to 313.92, 433.35 and 203.36

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Solution

The fourth proportional to 313.92, 433.35 and 203.36 is: 280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.92 : 433.35 = 203.36 : x
  2. Step 2: Convert to fraction form
    313.92/433.35 = 203.36/x
  3. Step 3: Cross multiply
    313.92x = 433.35 × 203.36
  4. Step 4: Simplify right side
    313.92x = 88,123.89
  5. Step 5: Solve for x
    x = 88,123.89/313.92
  6. Step 6: Final answer
    x = 280.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.