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Finding the Fourth Proportional to 464.18, 640.11 and 346.43

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Solution

The fourth proportional to 464.18, 640.11 and 346.43 is: 477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.18 : 640.11 = 346.43 : x
  2. Step 2: Convert to fraction form
    464.18/640.11 = 346.43/x
  3. Step 3: Cross multiply
    464.18x = 640.11 × 346.43
  4. Step 4: Simplify right side
    464.18x = 221,754.91
  5. Step 5: Solve for x
    x = 221,754.91/464.18
  6. Step 6: Final answer
    x = 477.74

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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.