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Finding the Fourth Proportional to 193.17, 266.61 and 114.48

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Solution

The fourth proportional to 193.17, 266.61 and 114.48 is: 158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.17 : 266.61 = 114.48 : x
  2. Step 2: Convert to fraction form
    193.17/266.61 = 114.48/x
  3. Step 3: Cross multiply
    193.17x = 266.61 × 114.48
  4. Step 4: Simplify right side
    193.17x = 30,521.51
  5. Step 5: Solve for x
    x = 30,521.51/193.17
  6. Step 6: Final answer
    x = 158.00

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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.