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Finding the Fourth Proportional to 314.12, 432.42 and 251.48

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Solution

The fourth proportional to 314.12, 432.42 and 251.48 is: 346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.12 : 432.42 = 251.48 : x
  2. Step 2: Convert to fraction form
    314.12/432.42 = 251.48/x
  3. Step 3: Cross multiply
    314.12x = 432.42 × 251.48
  4. Step 4: Simplify right side
    314.12x = 108,744.98
  5. Step 5: Solve for x
    x = 108,744.98/314.12
  6. Step 6: Final answer
    x = 346.19

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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.