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Finding the Fourth Proportional to 547.53, 821.42 and 157.53

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Solution

The fourth proportional to 547.53, 821.42 and 157.53 is: 236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.53 : 821.42 = 157.53 : x
  2. Step 2: Convert to fraction form
    547.53/821.42 = 157.53/x
  3. Step 3: Cross multiply
    547.53x = 821.42 × 157.53
  4. Step 4: Simplify right side
    547.53x = 129,400.74
  5. Step 5: Solve for x
    x = 129,400.74/547.53
  6. Step 6: Final answer
    x = 236.34

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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.