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Finding the Fourth Proportional to 314.21, 433.59 and 183.23

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Solution

The fourth proportional to 314.21, 433.59 and 183.23 is: 252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.21 : 433.59 = 183.23 : x
  2. Step 2: Convert to fraction form
    314.21/433.59 = 183.23/x
  3. Step 3: Cross multiply
    314.21x = 433.59 × 183.23
  4. Step 4: Simplify right side
    314.21x = 79,446.70
  5. Step 5: Solve for x
    x = 79,446.70/314.21
  6. Step 6: Final answer
    x = 252.85

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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.