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Finding the Fourth Proportional to 334.64, 502.16 and 197.80

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Solution

The fourth proportional to 334.64, 502.16 and 197.80 is: 296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.64 : 502.16 = 197.80 : x
  2. Step 2: Convert to fraction form
    334.64/502.16 = 197.80/x
  3. Step 3: Cross multiply
    334.64x = 502.16 × 197.80
  4. Step 4: Simplify right side
    334.64x = 99,327.25
  5. Step 5: Solve for x
    x = 99,327.25/334.64
  6. Step 6: Final answer
    x = 296.82

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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.