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Finding the Fourth Proportional to 287.16, 430.39 and 200.02

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Solution

The fourth proportional to 287.16, 430.39 and 200.02 is: 299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.16 : 430.39 = 200.02 : x
  2. Step 2: Convert to fraction form
    287.16/430.39 = 200.02/x
  3. Step 3: Cross multiply
    287.16x = 430.39 × 200.02
  4. Step 4: Simplify right side
    287.16x = 86,086.59
  5. Step 5: Solve for x
    x = 86,086.59/287.16
  6. Step 6: Final answer
    x = 299.79

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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.