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Finding the Fourth Proportional to 438.70, 605.42 and 242.23

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Solution

The fourth proportional to 438.70, 605.42 and 242.23 is: 334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.70 : 605.42 = 242.23 : x
  2. Step 2: Convert to fraction form
    438.70/605.42 = 242.23/x
  3. Step 3: Cross multiply
    438.70x = 605.42 × 242.23
  4. Step 4: Simplify right side
    438.70x = 146,650.89
  5. Step 5: Solve for x
    x = 146,650.89/438.70
  6. Step 6: Final answer
    x = 334.29

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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.