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Finding the Fourth Proportional to 205.97, 284.28 and 156.77

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Solution

The fourth proportional to 205.97, 284.28 and 156.77 is: 216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.97 : 284.28 = 156.77 : x
  2. Step 2: Convert to fraction form
    205.97/284.28 = 156.77/x
  3. Step 3: Cross multiply
    205.97x = 284.28 × 156.77
  4. Step 4: Simplify right side
    205.97x = 44,565.15
  5. Step 5: Solve for x
    x = 44,565.15/205.97
  6. Step 6: Final answer
    x = 216.37

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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.