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Finding the Fourth Proportional to 438.89, 605.71 and 252.40

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Solution

The fourth proportional to 438.89, 605.71 and 252.40 is: 348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.89 : 605.71 = 252.40 : x
  2. Step 2: Convert to fraction form
    438.89/605.71 = 252.40/x
  3. Step 3: Cross multiply
    438.89x = 605.71 × 252.40
  4. Step 4: Simplify right side
    438.89x = 152,881.20
  5. Step 5: Solve for x
    x = 152,881.20/438.89
  6. Step 6: Final answer
    x = 348.34

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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.