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Finding the Fourth Proportional to 342.77, 473.00 and 202.88

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Solution

The fourth proportional to 342.77, 473.00 and 202.88 is: 279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.77 : 473.00 = 202.88 : x
  2. Step 2: Convert to fraction form
    342.77/473.00 = 202.88/x
  3. Step 3: Cross multiply
    342.77x = 473.00 × 202.88
  4. Step 4: Simplify right side
    342.77x = 95,963.93
  5. Step 5: Solve for x
    x = 95,963.93/342.77
  6. Step 6: Final answer
    x = 279.96

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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.