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Finding the Fourth Proportional to 320.02, 440.85 and 221.61

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Solution

The fourth proportional to 320.02, 440.85 and 221.61 is: 305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.02 : 440.85 = 221.61 : x
  2. Step 2: Convert to fraction form
    320.02/440.85 = 221.61/x
  3. Step 3: Cross multiply
    320.02x = 440.85 × 221.61
  4. Step 4: Simplify right side
    320.02x = 97,696.77
  5. Step 5: Solve for x
    x = 97,696.77/320.02
  6. Step 6: Final answer
    x = 305.28

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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.