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Finding the Fourth Proportional to 193.14, 287.23 and 187.06

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Solution

The fourth proportional to 193.14, 287.23 and 187.06 is: 278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.14 : 287.23 = 187.06 : x
  2. Step 2: Convert to fraction form
    193.14/287.23 = 187.06/x
  3. Step 3: Cross multiply
    193.14x = 287.23 × 187.06
  4. Step 4: Simplify right side
    193.14x = 53,728.31
  5. Step 5: Solve for x
    x = 53,728.31/193.14
  6. Step 6: Final answer
    x = 278.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.