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Finding the Fourth Proportional to 402.12, 553.80 and 346.83

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Solution

The fourth proportional to 402.12, 553.80 and 346.83 is: 477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.12 : 553.80 = 346.83 : x
  2. Step 2: Convert to fraction form
    402.12/553.80 = 346.83/x
  3. Step 3: Cross multiply
    402.12x = 553.80 × 346.83
  4. Step 4: Simplify right side
    402.12x = 192,074.45
  5. Step 5: Solve for x
    x = 192,074.45/402.12
  6. Step 6: Final answer
    x = 477.65

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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.