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Finding the Fourth Proportional to 352.71, 529.10 and 208.13

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Solution

The fourth proportional to 352.71, 529.10 and 208.13 is: 312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.71 : 529.10 = 208.13 : x
  2. Step 2: Convert to fraction form
    352.71/529.10 = 208.13/x
  3. Step 3: Cross multiply
    352.71x = 529.10 × 208.13
  4. Step 4: Simplify right side
    352.71x = 110,117.90
  5. Step 5: Solve for x
    x = 110,117.90/352.71
  6. Step 6: Final answer
    x = 312.21

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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.