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Finding the Fourth Proportional to 207.41, 284.54 and 202.82

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Solution

The fourth proportional to 207.41, 284.54 and 202.82 is: 278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.41 : 284.54 = 202.82 : x
  2. Step 2: Convert to fraction form
    207.41/284.54 = 202.82/x
  3. Step 3: Cross multiply
    207.41x = 284.54 × 202.82
  4. Step 4: Simplify right side
    207.41x = 57,707.97
  5. Step 5: Solve for x
    x = 57,707.97/207.41
  6. Step 6: Final answer
    x = 278.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.