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Finding the Fourth Proportional to 220.84, 304.72 and 133.53

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Solution

The fourth proportional to 220.84, 304.72 and 133.53 is: 184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.84 : 304.72 = 133.53 : x
  2. Step 2: Convert to fraction form
    220.84/304.72 = 133.53/x
  3. Step 3: Cross multiply
    220.84x = 304.72 × 133.53
  4. Step 4: Simplify right side
    220.84x = 40,689.26
  5. Step 5: Solve for x
    x = 40,689.26/220.84
  6. Step 6: Final answer
    x = 184.25

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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.