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Finding the Fourth Proportional to 284.80, 392.94 and 202.12

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Solution

The fourth proportional to 284.80, 392.94 and 202.12 is: 278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.80 : 392.94 = 202.12 : x
  2. Step 2: Convert to fraction form
    284.80/392.94 = 202.12/x
  3. Step 3: Cross multiply
    284.80x = 392.94 × 202.12
  4. Step 4: Simplify right side
    284.80x = 79,421.03
  5. Step 5: Solve for x
    x = 79,421.03/284.80
  6. Step 6: Final answer
    x = 278.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.