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Finding the Fourth Proportional to 284.65, 393.49 and 202.47

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Solution

The fourth proportional to 284.65, 393.49 and 202.47 is: 279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.65 : 393.49 = 202.47 : x
  2. Step 2: Convert to fraction form
    284.65/393.49 = 202.47/x
  3. Step 3: Cross multiply
    284.65x = 393.49 × 202.47
  4. Step 4: Simplify right side
    284.65x = 79,669.10
  5. Step 5: Solve for x
    x = 79,669.10/284.65
  6. Step 6: Final answer
    x = 279.88

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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.