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Finding the Fourth Proportional to 352.81, 529.42 and 208.63

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Solution

The fourth proportional to 352.81, 529.42 and 208.63 is: 313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.81 : 529.42 = 208.63 : x
  2. Step 2: Convert to fraction form
    352.81/529.42 = 208.63/x
  3. Step 3: Cross multiply
    352.81x = 529.42 × 208.63
  4. Step 4: Simplify right side
    352.81x = 110,452.89
  5. Step 5: Solve for x
    x = 110,452.89/352.81
  6. Step 6: Final answer
    x = 313.07

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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.