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Finding the Fourth Proportional to 242.88, 362.33 and 225.42

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Solution

The fourth proportional to 242.88, 362.33 and 225.42 is: 336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.88 : 362.33 = 225.42 : x
  2. Step 2: Convert to fraction form
    242.88/362.33 = 225.42/x
  3. Step 3: Cross multiply
    242.88x = 362.33 × 225.42
  4. Step 4: Simplify right side
    242.88x = 81,675.30
  5. Step 5: Solve for x
    x = 81,675.30/242.88
  6. Step 6: Final answer
    x = 336.28

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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.