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Finding the Fourth Proportional to 203.62, 304.86 and 167.98

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Solution

The fourth proportional to 203.62, 304.86 and 167.98 is: 251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.62 : 304.86 = 167.98 : x
  2. Step 2: Convert to fraction form
    203.62/304.86 = 167.98/x
  3. Step 3: Cross multiply
    203.62x = 304.86 × 167.98
  4. Step 4: Simplify right side
    203.62x = 51,210.38
  5. Step 5: Solve for x
    x = 51,210.38/203.62
  6. Step 6: Final answer
    x = 251.50

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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.