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Finding the Fourth Proportional to 203.58, 304.76 and 162.88

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Solution

The fourth proportional to 203.58, 304.76 and 162.88 is: 243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.58 : 304.76 = 162.88 : x
  2. Step 2: Convert to fraction form
    203.58/304.76 = 162.88/x
  3. Step 3: Cross multiply
    203.58x = 304.76 × 162.88
  4. Step 4: Simplify right side
    203.58x = 49,638.95
  5. Step 5: Solve for x
    x = 49,638.95/203.58
  6. Step 6: Final answer
    x = 243.83

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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.