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Finding the Fourth Proportional to 219.30, 302.55 and 201.82

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Solution

The fourth proportional to 219.30, 302.55 and 201.82 is: 278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.30 : 302.55 = 201.82 : x
  2. Step 2: Convert to fraction form
    219.30/302.55 = 201.82/x
  3. Step 3: Cross multiply
    219.30x = 302.55 × 201.82
  4. Step 4: Simplify right side
    219.30x = 61,060.64
  5. Step 5: Solve for x
    x = 61,060.64/219.30
  6. Step 6: Final answer
    x = 278.43

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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.