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Finding the Fourth Proportional to 210.96, 292.86 and 202.32

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Solution

The fourth proportional to 210.96, 292.86 and 202.32 is: 280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.96 : 292.86 = 202.32 : x
  2. Step 2: Convert to fraction form
    210.96/292.86 = 202.32/x
  3. Step 3: Cross multiply
    210.96x = 292.86 × 202.32
  4. Step 4: Simplify right side
    210.96x = 59,251.44
  5. Step 5: Solve for x
    x = 59,251.44/210.96
  6. Step 6: Final answer
    x = 280.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.