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Finding the Fourth Proportional to 547.17, 821.55 and 223.17

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Solution

The fourth proportional to 547.17, 821.55 and 223.17 is: 335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.17 : 821.55 = 223.17 : x
  2. Step 2: Convert to fraction form
    547.17/821.55 = 223.17/x
  3. Step 3: Cross multiply
    547.17x = 821.55 × 223.17
  4. Step 4: Simplify right side
    547.17x = 183,345.31
  5. Step 5: Solve for x
    x = 183,345.31/547.17
  6. Step 6: Final answer
    x = 335.08

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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.