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Finding the Fourth Proportional to 464.13, 640.50 and 257.13

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Solution

The fourth proportional to 464.13, 640.50 and 257.13 is: 354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.13 : 640.50 = 257.13 : x
  2. Step 2: Convert to fraction form
    464.13/640.50 = 257.13/x
  3. Step 3: Cross multiply
    464.13x = 640.50 × 257.13
  4. Step 4: Simplify right side
    464.13x = 164,687.28
  5. Step 5: Solve for x
    x = 164,687.28/464.13
  6. Step 6: Final answer
    x = 354.83

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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.