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Finding the Fourth Proportional to 464.30, 697.17 and 248.30

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Solution

The fourth proportional to 464.30, 697.17 and 248.30 is: 372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.30 : 697.17 = 248.30 : x
  2. Step 2: Convert to fraction form
    464.30/697.17 = 248.30/x
  3. Step 3: Cross multiply
    464.30x = 697.17 × 248.30
  4. Step 4: Simplify right side
    464.30x = 173,107.31
  5. Step 5: Solve for x
    x = 173,107.31/464.30
  6. Step 6: Final answer
    x = 372.84

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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.