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Finding the Fourth Proportional to 220.47, 304.30 and 137.53

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Solution

The fourth proportional to 220.47, 304.30 and 137.53 is: 189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.47 : 304.30 = 137.53 : x
  2. Step 2: Convert to fraction form
    220.47/304.30 = 137.53/x
  3. Step 3: Cross multiply
    220.47x = 304.30 × 137.53
  4. Step 4: Simplify right side
    220.47x = 41,848.86
  5. Step 5: Solve for x
    x = 41,848.86/220.47
  6. Step 6: Final answer
    x = 189.82

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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.