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Finding the Fourth Proportional to 372.34, 556.49 and 343.16

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Solution

The fourth proportional to 372.34, 556.49 and 343.16 is: 512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.34 : 556.49 = 343.16 : x
  2. Step 2: Convert to fraction form
    372.34/556.49 = 343.16/x
  3. Step 3: Cross multiply
    372.34x = 556.49 × 343.16
  4. Step 4: Simplify right side
    372.34x = 190,965.11
  5. Step 5: Solve for x
    x = 190,965.11/372.34
  6. Step 6: Final answer
    x = 512.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.