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Finding the Fourth Proportional to 486.02, 728.61 and 197.66

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Solution

The fourth proportional to 486.02, 728.61 and 197.66 is: 296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.02 : 728.61 = 197.66 : x
  2. Step 2: Convert to fraction form
    486.02/728.61 = 197.66/x
  3. Step 3: Cross multiply
    486.02x = 728.61 × 197.66
  4. Step 4: Simplify right side
    486.02x = 144,013.41
  5. Step 5: Solve for x
    x = 144,013.41/486.02
  6. Step 6: Final answer
    x = 296.31

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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.