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Finding the Fourth Proportional to 187.78, 259.14 and 146.38

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Solution

The fourth proportional to 187.78, 259.14 and 146.38 is: 202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.78 : 259.14 = 146.38 : x
  2. Step 2: Convert to fraction form
    187.78/259.14 = 146.38/x
  3. Step 3: Cross multiply
    187.78x = 259.14 × 146.38
  4. Step 4: Simplify right side
    187.78x = 37,932.91
  5. Step 5: Solve for x
    x = 37,932.91/187.78
  6. Step 6: Final answer
    x = 202.01

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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.