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Finding the Fourth Proportional to 488.73, 732.59 and 164.01

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Solution

The fourth proportional to 488.73, 732.59 and 164.01 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.73 : 732.59 = 164.01 : x
  2. Step 2: Convert to fraction form
    488.73/732.59 = 164.01/x
  3. Step 3: Cross multiply
    488.73x = 732.59 × 164.01
  4. Step 4: Simplify right side
    488.73x = 120,151.27
  5. Step 5: Solve for x
    x = 120,151.27/488.73
  6. Step 6: Final answer
    x = 245.84

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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.