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Finding the Fourth Proportional to 203.69, 305.42 and 117.02

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Solution

The fourth proportional to 203.69, 305.42 and 117.02 is: 175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.69 : 305.42 = 117.02 : x
  2. Step 2: Convert to fraction form
    203.69/305.42 = 117.02/x
  3. Step 3: Cross multiply
    203.69x = 305.42 × 117.02
  4. Step 4: Simplify right side
    203.69x = 35,738.14
  5. Step 5: Solve for x
    x = 35,738.14/203.69
  6. Step 6: Final answer
    x = 175.46

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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.