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Finding the Fourth Proportional to 193.03, 266.13 and 158.02

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Solution

The fourth proportional to 193.03, 266.13 and 158.02 is: 217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.03 : 266.13 = 158.02 : x
  2. Step 2: Convert to fraction form
    193.03/266.13 = 158.02/x
  3. Step 3: Cross multiply
    193.03x = 266.13 × 158.02
  4. Step 4: Simplify right side
    193.03x = 42,053.86
  5. Step 5: Solve for x
    x = 42,053.86/193.03
  6. Step 6: Final answer
    x = 217.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.