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Finding the Fourth Proportional to 314.20, 433.47 and 203.68

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Solution

The fourth proportional to 314.20, 433.47 and 203.68 is: 281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.20 : 433.47 = 203.68 : x
  2. Step 2: Convert to fraction form
    314.20/433.47 = 203.68/x
  3. Step 3: Cross multiply
    314.20x = 433.47 × 203.68
  4. Step 4: Simplify right side
    314.20x = 88,289.17
  5. Step 5: Solve for x
    x = 88,289.17/314.20
  6. Step 6: Final answer
    x = 281.00

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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.