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Finding the Fourth Proportional to 217.86, 300.56 and 135

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Solution

The fourth proportional to 217.86, 300.56 and 135 is: 186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.86 : 300.56 = 135 : x
  2. Step 2: Convert to fraction form
    217.86/300.56 = 135/x
  3. Step 3: Cross multiply
    217.86x = 300.56 × 135
  4. Step 4: Simplify right side
    217.86x = 40,574.93
  5. Step 5: Solve for x
    x = 40,574.93/217.86
  6. Step 6: Final answer
    x = 186.25

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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.