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Finding the Fourth Proportional to 234.10, 349.43 and 207.08

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Solution

The fourth proportional to 234.10, 349.43 and 207.08 is: 309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.10 : 349.43 = 207.08 : x
  2. Step 2: Convert to fraction form
    234.10/349.43 = 207.08/x
  3. Step 3: Cross multiply
    234.10x = 349.43 × 207.08
  4. Step 4: Simplify right side
    234.10x = 72,359.96
  5. Step 5: Solve for x
    x = 72,359.96/234.10
  6. Step 6: Final answer
    x = 309.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.