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Finding the Fourth Proportional to 228.42, 315.26 and 135.22

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Solution

The fourth proportional to 228.42, 315.26 and 135.22 is: 186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.42 : 315.26 = 135.22 : x
  2. Step 2: Convert to fraction form
    228.42/315.26 = 135.22/x
  3. Step 3: Cross multiply
    228.42x = 315.26 × 135.22
  4. Step 4: Simplify right side
    228.42x = 42,629.46
  5. Step 5: Solve for x
    x = 42,629.46/228.42
  6. Step 6: Final answer
    x = 186.63

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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.