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Finding the Fourth Proportional to 341.52, 512.40 and 213.12

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Solution

The fourth proportional to 341.52, 512.40 and 213.12 is: 319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.52 : 512.40 = 213.12 : x
  2. Step 2: Convert to fraction form
    341.52/512.40 = 213.12/x
  3. Step 3: Cross multiply
    341.52x = 512.40 × 213.12
  4. Step 4: Simplify right side
    341.52x = 109,202.69
  5. Step 5: Solve for x
    x = 109,202.69/341.52
  6. Step 6: Final answer
    x = 319.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.