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Finding the Fourth Proportional to 315.08, 434.81 and 173.30

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Solution

The fourth proportional to 315.08, 434.81 and 173.30 is: 239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.08 : 434.81 = 173.30 : x
  2. Step 2: Convert to fraction form
    315.08/434.81 = 173.30/x
  3. Step 3: Cross multiply
    315.08x = 434.81 × 173.30
  4. Step 4: Simplify right side
    315.08x = 75,352.57
  5. Step 5: Solve for x
    x = 75,352.57/315.08
  6. Step 6: Final answer
    x = 239.15

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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.