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Finding the Fourth Proportional to 253.85, 350.19 and 207.41

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Solution

The fourth proportional to 253.85, 350.19 and 207.41 is: 286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.85 : 350.19 = 207.41 : x
  2. Step 2: Convert to fraction form
    253.85/350.19 = 207.41/x
  3. Step 3: Cross multiply
    253.85x = 350.19 × 207.41
  4. Step 4: Simplify right side
    253.85x = 72,631.16
  5. Step 5: Solve for x
    x = 72,631.16/253.85
  6. Step 6: Final answer
    x = 286.12

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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.