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Finding the Fourth Proportional to 529.40, 793.53 and 221.06

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Solution

The fourth proportional to 529.40, 793.53 and 221.06 is: 331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.40 : 793.53 = 221.06 : x
  2. Step 2: Convert to fraction form
    529.40/793.53 = 221.06/x
  3. Step 3: Cross multiply
    529.40x = 793.53 × 221.06
  4. Step 4: Simplify right side
    529.40x = 175,419.73
  5. Step 5: Solve for x
    x = 175,419.73/529.40
  6. Step 6: Final answer
    x = 331.35

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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.