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Finding the Fourth Proportional to 291.51, 402.28 and 229.23

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Solution

The fourth proportional to 291.51, 402.28 and 229.23 is: 316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.51 : 402.28 = 229.23 : x
  2. Step 2: Convert to fraction form
    291.51/402.28 = 229.23/x
  3. Step 3: Cross multiply
    291.51x = 402.28 × 229.23
  4. Step 4: Simplify right side
    291.51x = 92,214.07
  5. Step 5: Solve for x
    x = 92,214.07/291.51
  6. Step 6: Final answer
    x = 316.33

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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.