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Finding the Fourth Proportional to 410.52, 566.48 and 233.50

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Solution

The fourth proportional to 410.52, 566.48 and 233.50 is: 322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.52 : 566.48 = 233.50 : x
  2. Step 2: Convert to fraction form
    410.52/566.48 = 233.50/x
  3. Step 3: Cross multiply
    410.52x = 566.48 × 233.50
  4. Step 4: Simplify right side
    410.52x = 132,273.08
  5. Step 5: Solve for x
    x = 132,273.08/410.52
  6. Step 6: Final answer
    x = 322.21

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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.