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Finding the Fourth Proportional to 314.48, 433.42 and 252.52

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Solution

The fourth proportional to 314.48, 433.42 and 252.52 is: 348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.48 : 433.42 = 252.52 : x
  2. Step 2: Convert to fraction form
    314.48/433.42 = 252.52/x
  3. Step 3: Cross multiply
    314.48x = 433.42 × 252.52
  4. Step 4: Simplify right side
    314.48x = 109,445.50
  5. Step 5: Solve for x
    x = 109,445.50/314.48
  6. Step 6: Final answer
    x = 348.02

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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.