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Finding the Fourth Proportional to 287.84, 433.34 and 197.12

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Solution

The fourth proportional to 287.84, 433.34 and 197.12 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.84 : 433.34 = 197.12 : x
  2. Step 2: Convert to fraction form
    287.84/433.34 = 197.12/x
  3. Step 3: Cross multiply
    287.84x = 433.34 × 197.12
  4. Step 4: Simplify right side
    287.84x = 85,416.83
  5. Step 5: Solve for x
    x = 85,416.83/287.84
  6. Step 6: Final answer
    x = 296.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.