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Finding the Fourth Proportional to 438.10, 656.94 and 164.13

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Solution

The fourth proportional to 438.10, 656.94 and 164.13 is: 246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.10 : 656.94 = 164.13 : x
  2. Step 2: Convert to fraction form
    438.10/656.94 = 164.13/x
  3. Step 3: Cross multiply
    438.10x = 656.94 × 164.13
  4. Step 4: Simplify right side
    438.10x = 107,823.56
  5. Step 5: Solve for x
    x = 107,823.56/438.10
  6. Step 6: Final answer
    x = 246.12

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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.