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Finding the Fourth Proportional to 228.48, 315.30 and 135.20

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Solution

The fourth proportional to 228.48, 315.30 and 135.20 is: 186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.48 : 315.30 = 135.20 : x
  2. Step 2: Convert to fraction form
    228.48/315.30 = 135.20/x
  3. Step 3: Cross multiply
    228.48x = 315.30 × 135.20
  4. Step 4: Simplify right side
    228.48x = 42,628.56
  5. Step 5: Solve for x
    x = 42,628.56/228.48
  6. Step 6: Final answer
    x = 186.57

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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.