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Finding the Fourth Proportional to 493.72, 741.30 and 301.48

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Solution

The fourth proportional to 493.72, 741.30 and 301.48 is: 452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.72 : 741.30 = 301.48 : x
  2. Step 2: Convert to fraction form
    493.72/741.30 = 301.48/x
  3. Step 3: Cross multiply
    493.72x = 741.30 × 301.48
  4. Step 4: Simplify right side
    493.72x = 223,487.12
  5. Step 5: Solve for x
    x = 223,487.12/493.72
  6. Step 6: Final answer
    x = 452.66

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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.