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Finding the Fourth Proportional to 297.50, 448.01 and 221.01

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Solution

The fourth proportional to 297.50, 448.01 and 221.01 is: 332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.50 : 448.01 = 221.01 : x
  2. Step 2: Convert to fraction form
    297.50/448.01 = 221.01/x
  3. Step 3: Cross multiply
    297.50x = 448.01 × 221.01
  4. Step 4: Simplify right side
    297.50x = 99,013.59
  5. Step 5: Solve for x
    x = 99,013.59/297.50
  6. Step 6: Final answer
    x = 332.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.