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Finding the Fourth Proportional to 292.10, 438.18 and 109.74

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Solution

The fourth proportional to 292.10, 438.18 and 109.74 is: 164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.10 : 438.18 = 109.74 : x
  2. Step 2: Convert to fraction form
    292.10/438.18 = 109.74/x
  3. Step 3: Cross multiply
    292.10x = 438.18 × 109.74
  4. Step 4: Simplify right side
    292.10x = 48,085.87
  5. Step 5: Solve for x
    x = 48,085.87/292.10
  6. Step 6: Final answer
    x = 164.62

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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.