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Finding the Fourth Proportional to 482.37, 723.65 and 193.83

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Solution

The fourth proportional to 482.37, 723.65 and 193.83 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.37 : 723.65 = 193.83 : x
  2. Step 2: Convert to fraction form
    482.37/723.65 = 193.83/x
  3. Step 3: Cross multiply
    482.37x = 723.65 × 193.83
  4. Step 4: Simplify right side
    482.37x = 140,264.11
  5. Step 5: Solve for x
    x = 140,264.11/482.37
  6. Step 6: Final answer
    x = 290.78

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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.