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Finding the Fourth Proportional to 202.93, 302.13 and 200.05

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Solution

The fourth proportional to 202.93, 302.13 and 200.05 is: 297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.93 : 302.13 = 200.05 : x
  2. Step 2: Convert to fraction form
    202.93/302.13 = 200.05/x
  3. Step 3: Cross multiply
    202.93x = 302.13 × 200.05
  4. Step 4: Simplify right side
    202.93x = 60,441.11
  5. Step 5: Solve for x
    x = 60,441.11/202.93
  6. Step 6: Final answer
    x = 297.84

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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.