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Finding the Fourth Proportional to 495.58, 742.90 and 203.02

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Solution

The fourth proportional to 495.58, 742.90 and 203.02 is: 304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.58 : 742.90 = 203.02 : x
  2. Step 2: Convert to fraction form
    495.58/742.90 = 203.02/x
  3. Step 3: Cross multiply
    495.58x = 742.90 × 203.02
  4. Step 4: Simplify right side
    495.58x = 150,823.56
  5. Step 5: Solve for x
    x = 150,823.56/495.58
  6. Step 6: Final answer
    x = 304.34

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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.