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Finding the Fourth Proportional to 220.32, 304.08 and 137.46

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Solution

The fourth proportional to 220.32, 304.08 and 137.46 is: 189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.32 : 304.08 = 137.46 : x
  2. Step 2: Convert to fraction form
    220.32/304.08 = 137.46/x
  3. Step 3: Cross multiply
    220.32x = 304.08 × 137.46
  4. Step 4: Simplify right side
    220.32x = 41,798.84
  5. Step 5: Solve for x
    x = 41,798.84/220.32
  6. Step 6: Final answer
    x = 189.72

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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.