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Finding the Fourth Proportional to 203.60, 304.78 and 112.02

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Solution

The fourth proportional to 203.60, 304.78 and 112.02 is: 167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.60 : 304.78 = 112.02 : x
  2. Step 2: Convert to fraction form
    203.60/304.78 = 112.02/x
  3. Step 3: Cross multiply
    203.60x = 304.78 × 112.02
  4. Step 4: Simplify right side
    203.60x = 34,140.90
  5. Step 5: Solve for x
    x = 34,140.90/203.60
  6. Step 6: Final answer
    x = 167.69

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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.