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Finding the Fourth Proportional to 410.69, 566.78 and 233.67

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Solution

The fourth proportional to 410.69, 566.78 and 233.67 is: 322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.69 : 566.78 = 233.67 : x
  2. Step 2: Convert to fraction form
    410.69/566.78 = 233.67/x
  3. Step 3: Cross multiply
    410.69x = 566.78 × 233.67
  4. Step 4: Simplify right side
    410.69x = 132,439.48
  5. Step 5: Solve for x
    x = 132,439.48/410.69
  6. Step 6: Final answer
    x = 322.48

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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.