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Finding the Fourth Proportional to 406.02, 609.57 and 232.86

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Solution

The fourth proportional to 406.02, 609.57 and 232.86 is: 349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.02 : 609.57 = 232.86 : x
  2. Step 2: Convert to fraction form
    406.02/609.57 = 232.86/x
  3. Step 3: Cross multiply
    406.02x = 609.57 × 232.86
  4. Step 4: Simplify right side
    406.02x = 141,944.47
  5. Step 5: Solve for x
    x = 141,944.47/406.02
  6. Step 6: Final answer
    x = 349.60

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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.