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Finding the Fourth Proportional to 252.10, 376.45 and 221.02

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Solution

The fourth proportional to 252.10, 376.45 and 221.02 is: 330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.10 : 376.45 = 221.02 : x
  2. Step 2: Convert to fraction form
    252.10/376.45 = 221.02/x
  3. Step 3: Cross multiply
    252.10x = 376.45 × 221.02
  4. Step 4: Simplify right side
    252.10x = 83,199.99
  5. Step 5: Solve for x
    x = 83,199.99/252.10
  6. Step 6: Final answer
    x = 330.03

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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.