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Finding the Fourth Proportional to 291.26, 402.12 and 228.98

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Solution

The fourth proportional to 291.26, 402.12 and 228.98 is: 316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.26 : 402.12 = 228.98 : x
  2. Step 2: Convert to fraction form
    291.26/402.12 = 228.98/x
  3. Step 3: Cross multiply
    291.26x = 402.12 × 228.98
  4. Step 4: Simplify right side
    291.26x = 92,077.44
  5. Step 5: Solve for x
    x = 92,077.44/291.26
  6. Step 6: Final answer
    x = 316.13

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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.