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Finding the Fourth Proportional to 493.97, 741.20 and 247.20

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Solution

The fourth proportional to 493.97, 741.20 and 247.20 is: 370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.97 : 741.20 = 247.20 : x
  2. Step 2: Convert to fraction form
    493.97/741.20 = 247.20/x
  3. Step 3: Cross multiply
    493.97x = 741.20 × 247.20
  4. Step 4: Simplify right side
    493.97x = 183,226.18
  5. Step 5: Solve for x
    x = 183,226.18/493.97
  6. Step 6: Final answer
    x = 370.93

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Double scale
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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.