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Finding the Fourth Proportional to 242.16, 360.94 and 228.49

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Solution

The fourth proportional to 242.16, 360.94 and 228.49 is: 340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.16 : 360.94 = 228.49 : x
  2. Step 2: Convert to fraction form
    242.16/360.94 = 228.49/x
  3. Step 3: Cross multiply
    242.16x = 360.94 × 228.49
  4. Step 4: Simplify right side
    242.16x = 82,471.18
  5. Step 5: Solve for x
    x = 82,471.18/242.16
  6. Step 6: Final answer
    x = 340.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.