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Finding the Fourth Proportional to 315.35, 473.09 and 159.26

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Solution

The fourth proportional to 315.35, 473.09 and 159.26 is: 238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.35 : 473.09 = 159.26 : x
  2. Step 2: Convert to fraction form
    315.35/473.09 = 159.26/x
  3. Step 3: Cross multiply
    315.35x = 473.09 × 159.26
  4. Step 4: Simplify right side
    315.35x = 75,341.15
  5. Step 5: Solve for x
    x = 75,341.15/315.35
  6. Step 6: Final answer
    x = 238.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.