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Finding the Fourth Proportional to 200.02, 276.08 and 117.16

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Solution

The fourth proportional to 200.02, 276.08 and 117.16 is: 161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.02 : 276.08 = 117.16 : x
  2. Step 2: Convert to fraction form
    200.02/276.08 = 117.16/x
  3. Step 3: Cross multiply
    200.02x = 276.08 × 117.16
  4. Step 4: Simplify right side
    200.02x = 32,345.53
  5. Step 5: Solve for x
    x = 32,345.53/200.02
  6. Step 6: Final answer
    x = 161.71

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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.