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Finding the Fourth Proportional to 203.65, 305.38 and 59.34

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Solution

The fourth proportional to 203.65, 305.38 and 59.34 is: 88.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.65 : 305.38 = 59.34 : x
  2. Step 2: Convert to fraction form
    203.65/305.38 = 59.34/x
  3. Step 3: Cross multiply
    203.65x = 305.38 × 59.34
  4. Step 4: Simplify right side
    203.65x = 18,121.25
  5. Step 5: Solve for x
    x = 18,121.25/203.65
  6. Step 6: Final answer
    x = 88.98

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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.