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Finding the Fourth Proportional to 221.19, 304.92 and 138.26

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Solution

The fourth proportional to 221.19, 304.92 and 138.26 is: 190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.19 : 304.92 = 138.26 : x
  2. Step 2: Convert to fraction form
    221.19/304.92 = 138.26/x
  3. Step 3: Cross multiply
    221.19x = 304.92 × 138.26
  4. Step 4: Simplify right side
    221.19x = 42,158.24
  5. Step 5: Solve for x
    x = 42,158.24/221.19
  6. Step 6: Final answer
    x = 190.60

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1.5x scale

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.