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Finding the Fourth Proportional to 353.68, 529.62 and 281.32

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Solution

The fourth proportional to 353.68, 529.62 and 281.32 is: 421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.68 : 529.62 = 281.32 : x
  2. Step 2: Convert to fraction form
    353.68/529.62 = 281.32/x
  3. Step 3: Cross multiply
    353.68x = 529.62 × 281.32
  4. Step 4: Simplify right side
    353.68x = 148,992.70
  5. Step 5: Solve for x
    x = 148,992.70/353.68
  6. Step 6: Final answer
    x = 421.26

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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.