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Finding the Fourth Proportional to 352.40, 528.47 and 206.20

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Solution

The fourth proportional to 352.40, 528.47 and 206.20 is: 309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.40 : 528.47 = 206.20 : x
  2. Step 2: Convert to fraction form
    352.40/528.47 = 206.20/x
  3. Step 3: Cross multiply
    352.40x = 528.47 × 206.20
  4. Step 4: Simplify right side
    352.40x = 108,970.51
  5. Step 5: Solve for x
    x = 108,970.51/352.40
  6. Step 6: Final answer
    x = 309.22

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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.