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Finding the Fourth Proportional to 188.86, 284.31 and 135.13

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Solution

The fourth proportional to 188.86, 284.31 and 135.13 is: 203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.86 : 284.31 = 135.13 : x
  2. Step 2: Convert to fraction form
    188.86/284.31 = 135.13/x
  3. Step 3: Cross multiply
    188.86x = 284.31 × 135.13
  4. Step 4: Simplify right side
    188.86x = 38,417.59
  5. Step 5: Solve for x
    x = 38,417.59/188.86
  6. Step 6: Final answer
    x = 203.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.