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Finding the Fourth Proportional to 438.50, 605.11 and 242.00

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Solution

The fourth proportional to 438.50, 605.11 and 242.00 is: 333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.50 : 605.11 = 242.00 : x
  2. Step 2: Convert to fraction form
    438.50/605.11 = 242.00/x
  3. Step 3: Cross multiply
    438.50x = 605.11 × 242.00
  4. Step 4: Simplify right side
    438.50x = 146,438.44
  5. Step 5: Solve for x
    x = 146,438.44/438.50
  6. Step 6: Final answer
    x = 333.96

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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.