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Finding the Fourth Proportional to 199.51, 298.88 and 178.31

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Solution

The fourth proportional to 199.51, 298.88 and 178.31 is: 267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.51 : 298.88 = 178.31 : x
  2. Step 2: Convert to fraction form
    199.51/298.88 = 178.31/x
  3. Step 3: Cross multiply
    199.51x = 298.88 × 178.31
  4. Step 4: Simplify right side
    199.51x = 53,292.40
  5. Step 5: Solve for x
    x = 53,292.40/199.51
  6. Step 6: Final answer
    x = 267.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.