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Finding the Fourth Proportional to 353.86, 529.70 and 231.86

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Solution

The fourth proportional to 353.86, 529.70 and 231.86 is: 347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.86 : 529.70 = 231.86 : x
  2. Step 2: Convert to fraction form
    353.86/529.70 = 231.86/x
  3. Step 3: Cross multiply
    353.86x = 529.70 × 231.86
  4. Step 4: Simplify right side
    353.86x = 122,816.24
  5. Step 5: Solve for x
    x = 122,816.24/353.86
  6. Step 6: Final answer
    x = 347.08

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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.