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Finding the Fourth Proportional to 291.41, 402.09 and 165.35

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Solution

The fourth proportional to 291.41, 402.09 and 165.35 is: 228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.41 : 402.09 = 165.35 : x
  2. Step 2: Convert to fraction form
    291.41/402.09 = 165.35/x
  3. Step 3: Cross multiply
    291.41x = 402.09 × 165.35
  4. Step 4: Simplify right side
    291.41x = 66,487.00
  5. Step 5: Solve for x
    x = 66,487.00/291.41
  6. Step 6: Final answer
    x = 228.16

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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.