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Finding the Fourth Proportional to 464.42, 697.31 and 221.12

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Solution

The fourth proportional to 464.42, 697.31 and 221.12 is: 332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.42 : 697.31 = 221.12 : x
  2. Step 2: Convert to fraction form
    464.42/697.31 = 221.12/x
  3. Step 3: Cross multiply
    464.42x = 697.31 × 221.12
  4. Step 4: Simplify right side
    464.42x = 154,184.60
  5. Step 5: Solve for x
    x = 154,184.60/464.42
  6. Step 6: Final answer
    x = 332.00

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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.