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Finding the Fourth Proportional to 345.87, 477.34 and 213.12

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Solution

The fourth proportional to 345.87, 477.34 and 213.12 is: 294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.87 : 477.34 = 213.12 : x
  2. Step 2: Convert to fraction form
    345.87/477.34 = 213.12/x
  3. Step 3: Cross multiply
    345.87x = 477.34 × 213.12
  4. Step 4: Simplify right side
    345.87x = 101,730.70
  5. Step 5: Solve for x
    x = 101,730.70/345.87
  6. Step 6: Final answer
    x = 294.13

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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.