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Finding the Fourth Proportional to 352.66, 528.28 and 179.22

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Solution

The fourth proportional to 352.66, 528.28 and 179.22 is: 268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.66 : 528.28 = 179.22 : x
  2. Step 2: Convert to fraction form
    352.66/528.28 = 179.22/x
  3. Step 3: Cross multiply
    352.66x = 528.28 × 179.22
  4. Step 4: Simplify right side
    352.66x = 94,678.34
  5. Step 5: Solve for x
    x = 94,678.34/352.66
  6. Step 6: Final answer
    x = 268.47

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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.