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Finding the Fourth Proportional to 438.10, 656.90 and 164.20

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Solution

The fourth proportional to 438.10, 656.90 and 164.20 is: 246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.10 : 656.90 = 164.20 : x
  2. Step 2: Convert to fraction form
    438.10/656.90 = 164.20/x
  3. Step 3: Cross multiply
    438.10x = 656.90 × 164.20
  4. Step 4: Simplify right side
    438.10x = 107,862.98
  5. Step 5: Solve for x
    x = 107,862.98/438.10
  6. Step 6: Final answer
    x = 246.21

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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.