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Finding the Fourth Proportional to 186.78, 257.81 and 150.06

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Solution

The fourth proportional to 186.78, 257.81 and 150.06 is: 207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.78 : 257.81 = 150.06 : x
  2. Step 2: Convert to fraction form
    186.78/257.81 = 150.06/x
  3. Step 3: Cross multiply
    186.78x = 257.81 × 150.06
  4. Step 4: Simplify right side
    186.78x = 38,686.22
  5. Step 5: Solve for x
    x = 38,686.22/186.78
  6. Step 6: Final answer
    x = 207.12

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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.