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Finding the Fourth Proportional to 245.36, 337.80 and 221.84

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Solution

The fourth proportional to 245.36, 337.80 and 221.84 is: 305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.36 : 337.80 = 221.84 : x
  2. Step 2: Convert to fraction form
    245.36/337.80 = 221.84/x
  3. Step 3: Cross multiply
    245.36x = 337.80 × 221.84
  4. Step 4: Simplify right side
    245.36x = 74,937.55
  5. Step 5: Solve for x
    x = 74,937.55/245.36
  6. Step 6: Final answer
    x = 305.42

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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.