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Finding the Fourth Proportional to 242.28, 360.90 and 233.37

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Solution

The fourth proportional to 242.28, 360.90 and 233.37 is: 347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.28 : 360.90 = 233.37 : x
  2. Step 2: Convert to fraction form
    242.28/360.90 = 233.37/x
  3. Step 3: Cross multiply
    242.28x = 360.90 × 233.37
  4. Step 4: Simplify right side
    242.28x = 84,223.23
  5. Step 5: Solve for x
    x = 84,223.23/242.28
  6. Step 6: Final answer
    x = 347.63

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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.