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Finding the Fourth Proportional to 464.05, 694.62 and 257.96

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Solution

The fourth proportional to 464.05, 694.62 and 257.96 is: 386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.05 : 694.62 = 257.96 : x
  2. Step 2: Convert to fraction form
    464.05/694.62 = 257.96/x
  3. Step 3: Cross multiply
    464.05x = 694.62 × 257.96
  4. Step 4: Simplify right side
    464.05x = 179,184.18
  5. Step 5: Solve for x
    x = 179,184.18/464.05
  6. Step 6: Final answer
    x = 386.13

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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.