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Finding the Fourth Proportional to 438.61, 605.15 and 340.20

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Solution

The fourth proportional to 438.61, 605.15 and 340.20 is: 469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.61 : 605.15 = 340.20 : x
  2. Step 2: Convert to fraction form
    438.61/605.15 = 340.20/x
  3. Step 3: Cross multiply
    438.61x = 605.15 × 340.20
  4. Step 4: Simplify right side
    438.61x = 205,872.03
  5. Step 5: Solve for x
    x = 205,872.03/438.61
  6. Step 6: Final answer
    x = 469.37

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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.