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Finding the Fourth Proportional to 488.66, 732.80 and 196.16

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Solution

The fourth proportional to 488.66, 732.80 and 196.16 is: 294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.66 : 732.80 = 196.16 : x
  2. Step 2: Convert to fraction form
    488.66/732.80 = 196.16/x
  3. Step 3: Cross multiply
    488.66x = 732.80 × 196.16
  4. Step 4: Simplify right side
    488.66x = 143,746.05
  5. Step 5: Solve for x
    x = 143,746.05/488.66
  6. Step 6: Final answer
    x = 294.16

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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.