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Finding the Fourth Proportional to 464.64, 697.04 and 221.24

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Solution

The fourth proportional to 464.64, 697.04 and 221.24 is: 331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.64 : 697.04 = 221.24 : x
  2. Step 2: Convert to fraction form
    464.64/697.04 = 221.24/x
  3. Step 3: Cross multiply
    464.64x = 697.04 × 221.24
  4. Step 4: Simplify right side
    464.64x = 154,213.13
  5. Step 5: Solve for x
    x = 154,213.13/464.64
  6. Step 6: Final answer
    x = 331.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.