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Finding the Fourth Proportional to 482.31, 723.08 and 189.89

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Solution

The fourth proportional to 482.31, 723.08 and 189.89 is: 284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.31 : 723.08 = 189.89 : x
  2. Step 2: Convert to fraction form
    482.31/723.08 = 189.89/x
  3. Step 3: Cross multiply
    482.31x = 723.08 × 189.89
  4. Step 4: Simplify right side
    482.31x = 137,305.66
  5. Step 5: Solve for x
    x = 137,305.66/482.31
  6. Step 6: Final answer
    x = 284.68

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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.