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Finding the Fourth Proportional to 410.08, 565.77 and 233.02

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Solution

The fourth proportional to 410.08, 565.77 and 233.02 is: 321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.08 : 565.77 = 233.02 : x
  2. Step 2: Convert to fraction form
    410.08/565.77 = 233.02/x
  3. Step 3: Cross multiply
    410.08x = 565.77 × 233.02
  4. Step 4: Simplify right side
    410.08x = 131,835.73
  5. Step 5: Solve for x
    x = 131,835.73/410.08
  6. Step 6: Final answer
    x = 321.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.