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Finding the Fourth Proportional to 483, 723.54 and 238.78

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Solution

The fourth proportional to 483, 723.54 and 238.78 is: 357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    483 : 723.54 = 238.78 : x
  2. Step 2: Convert to fraction form
    483/723.54 = 238.78/x
  3. Step 3: Cross multiply
    483x = 723.54 × 238.78
  4. Step 4: Simplify right side
    483x = 172,766.88
  5. Step 5: Solve for x
    x = 172,766.88/483
  6. Step 6: Final answer
    x = 357.70

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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.