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Finding the Fourth Proportional to 343.02, 473.49 and 212.10

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Solution

The fourth proportional to 343.02, 473.49 and 212.10 is: 292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.02 : 473.49 = 212.10 : x
  2. Step 2: Convert to fraction form
    343.02/473.49 = 212.10/x
  3. Step 3: Cross multiply
    343.02x = 473.49 × 212.10
  4. Step 4: Simplify right side
    343.02x = 100,427.23
  5. Step 5: Solve for x
    x = 100,427.23/343.02
  6. Step 6: Final answer
    x = 292.77

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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.