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Finding the Fourth Proportional to 493.78, 741.12 and 356.18

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Solution

The fourth proportional to 493.78, 741.12 and 356.18 is: 534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.78 : 741.12 = 356.18 : x
  2. Step 2: Convert to fraction form
    493.78/741.12 = 356.18/x
  3. Step 3: Cross multiply
    493.78x = 741.12 × 356.18
  4. Step 4: Simplify right side
    493.78x = 263,972.12
  5. Step 5: Solve for x
    x = 263,972.12/493.78
  6. Step 6: Final answer
    x = 534.59

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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.