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Finding the Fourth Proportional to 202.71, 302.39 and 200.07

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Solution

The fourth proportional to 202.71, 302.39 and 200.07 is: 298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.71 : 302.39 = 200.07 : x
  2. Step 2: Convert to fraction form
    202.71/302.39 = 200.07/x
  3. Step 3: Cross multiply
    202.71x = 302.39 × 200.07
  4. Step 4: Simplify right side
    202.71x = 60,498.17
  5. Step 5: Solve for x
    x = 60,498.17/202.71
  6. Step 6: Final answer
    x = 298.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.