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Finding the Fourth Proportional to 493.65, 740.42 and 230.20

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Solution

The fourth proportional to 493.65, 740.42 and 230.20 is: 345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.65 : 740.42 = 230.20 : x
  2. Step 2: Convert to fraction form
    493.65/740.42 = 230.20/x
  3. Step 3: Cross multiply
    493.65x = 740.42 × 230.20
  4. Step 4: Simplify right side
    493.65x = 170,443.98
  5. Step 5: Solve for x
    x = 170,443.98/493.65
  6. Step 6: Final answer
    x = 345.27

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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.