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Finding the Fourth Proportional to 199.64, 276.08 and 175.03

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Solution

The fourth proportional to 199.64, 276.08 and 175.03 is: 242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.64 : 276.08 = 175.03 : x
  2. Step 2: Convert to fraction form
    199.64/276.08 = 175.03/x
  3. Step 3: Cross multiply
    199.64x = 276.08 × 175.03
  4. Step 4: Simplify right side
    199.64x = 48,320.72
  5. Step 5: Solve for x
    x = 48,320.72/199.64
  6. Step 6: Final answer
    x = 242.05

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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.