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Finding the Fourth Proportional to 547.66, 821.52 and 222.98

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Solution

The fourth proportional to 547.66, 821.52 and 222.98 is: 334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.66 : 821.52 = 222.98 : x
  2. Step 2: Convert to fraction form
    547.66/821.52 = 222.98/x
  3. Step 3: Cross multiply
    547.66x = 821.52 × 222.98
  4. Step 4: Simplify right side
    547.66x = 183,182.53
  5. Step 5: Solve for x
    x = 183,182.53/547.66
  6. Step 6: Final answer
    x = 334.48

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Double scale
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Similar ratio
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1.5x scale

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.