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Finding the Fourth Proportional to 212.16, 292.32 and 200.64

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Solution

The fourth proportional to 212.16, 292.32 and 200.64 is: 276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.16 : 292.32 = 200.64 : x
  2. Step 2: Convert to fraction form
    212.16/292.32 = 200.64/x
  3. Step 3: Cross multiply
    212.16x = 292.32 × 200.64
  4. Step 4: Simplify right side
    212.16x = 58,651.08
  5. Step 5: Solve for x
    x = 58,651.08/212.16
  6. Step 6: Final answer
    x = 276.45

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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.