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Finding the Fourth Proportional to 488.81, 732.52 and 366.94

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Solution

The fourth proportional to 488.81, 732.52 and 366.94 is: 549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.81 : 732.52 = 366.94 : x
  2. Step 2: Convert to fraction form
    488.81/732.52 = 366.94/x
  3. Step 3: Cross multiply
    488.81x = 732.52 × 366.94
  4. Step 4: Simplify right side
    488.81x = 268,788.14
  5. Step 5: Solve for x
    x = 268,788.14/488.81
  6. Step 6: Final answer
    x = 549.88

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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.