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Finding the Fourth Proportional to 193.59, 266.19 and 170.30

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Solution

The fourth proportional to 193.59, 266.19 and 170.30 is: 234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.59 : 266.19 = 170.30 : x
  2. Step 2: Convert to fraction form
    193.59/266.19 = 170.30/x
  3. Step 3: Cross multiply
    193.59x = 266.19 × 170.30
  4. Step 4: Simplify right side
    193.59x = 45,332.18
  5. Step 5: Solve for x
    x = 45,332.18/193.59
  6. Step 6: Final answer
    x = 234.17

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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.