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Finding the Fourth Proportional to 313.77, 470.75 and 151.43

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Solution

The fourth proportional to 313.77, 470.75 and 151.43 is: 227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.77 : 470.75 = 151.43 : x
  2. Step 2: Convert to fraction form
    313.77/470.75 = 151.43/x
  3. Step 3: Cross multiply
    313.77x = 470.75 × 151.43
  4. Step 4: Simplify right side
    313.77x = 71,284.87
  5. Step 5: Solve for x
    x = 71,284.87/313.77
  6. Step 6: Final answer
    x = 227.19

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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.