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Finding the Fourth Proportional to 495.28, 742.84 and 202.72

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Solution

The fourth proportional to 495.28, 742.84 and 202.72 is: 304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.28 : 742.84 = 202.72 : x
  2. Step 2: Convert to fraction form
    495.28/742.84 = 202.72/x
  3. Step 3: Cross multiply
    495.28x = 742.84 × 202.72
  4. Step 4: Simplify right side
    495.28x = 150,588.52
  5. Step 5: Solve for x
    x = 150,588.52/495.28
  6. Step 6: Final answer
    x = 304.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.