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Finding the Fourth Proportional to 314.77, 434.94 and 227.29

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Solution

The fourth proportional to 314.77, 434.94 and 227.29 is: 314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.77 : 434.94 = 227.29 : x
  2. Step 2: Convert to fraction form
    314.77/434.94 = 227.29/x
  3. Step 3: Cross multiply
    314.77x = 434.94 × 227.29
  4. Step 4: Simplify right side
    314.77x = 98,857.51
  5. Step 5: Solve for x
    x = 98,857.51/314.77
  6. Step 6: Final answer
    x = 314.06

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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.