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Finding the Fourth Proportional to 315.29, 473.09 and 150.74

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Solution

The fourth proportional to 315.29, 473.09 and 150.74 is: 226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.29 : 473.09 = 150.74 : x
  2. Step 2: Convert to fraction form
    315.29/473.09 = 150.74/x
  3. Step 3: Cross multiply
    315.29x = 473.09 × 150.74
  4. Step 4: Simplify right side
    315.29x = 71,313.59
  5. Step 5: Solve for x
    x = 71,313.59/315.29
  6. Step 6: Final answer
    x = 226.18

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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.