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Finding the Fourth Proportional to 342.00, 471.94 and 202.13

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Solution

The fourth proportional to 342.00, 471.94 and 202.13 is: 278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.00 : 471.94 = 202.13 : x
  2. Step 2: Convert to fraction form
    342.00/471.94 = 202.13/x
  3. Step 3: Cross multiply
    342.00x = 471.94 × 202.13
  4. Step 4: Simplify right side
    342.00x = 95,392.56
  5. Step 5: Solve for x
    x = 95,392.56/342.00
  6. Step 6: Final answer
    x = 278.93

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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.