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Finding the Fourth Proportional to 352.47, 529.08 and 288.21

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Solution

The fourth proportional to 352.47, 529.08 and 288.21 is: 432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.47 : 529.08 = 288.21 : x
  2. Step 2: Convert to fraction form
    352.47/529.08 = 288.21/x
  3. Step 3: Cross multiply
    352.47x = 529.08 × 288.21
  4. Step 4: Simplify right side
    352.47x = 152,486.15
  5. Step 5: Solve for x
    x = 152,486.15/352.47
  6. Step 6: Final answer
    x = 432.62

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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.