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Finding the Fourth Proportional to 654.01, 980.85 and 243.19

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Solution

The fourth proportional to 654.01, 980.85 and 243.19 is: 364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.01 : 980.85 = 243.19 : x
  2. Step 2: Convert to fraction form
    654.01/980.85 = 243.19/x
  3. Step 3: Cross multiply
    654.01x = 980.85 × 243.19
  4. Step 4: Simplify right side
    654.01x = 238,532.91
  5. Step 5: Solve for x
    x = 238,532.91/654.01
  6. Step 6: Final answer
    x = 364.72

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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.