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Finding the Fourth Proportional to 464.82, 642.03 and 340.29

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Solution

The fourth proportional to 464.82, 642.03 and 340.29 is: 470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.82 : 642.03 = 340.29 : x
  2. Step 2: Convert to fraction form
    464.82/642.03 = 340.29/x
  3. Step 3: Cross multiply
    464.82x = 642.03 × 340.29
  4. Step 4: Simplify right side
    464.82x = 218,476.39
  5. Step 5: Solve for x
    x = 218,476.39/464.82
  6. Step 6: Final answer
    x = 470.02

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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.