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Finding the Fourth Proportional to 410.69, 566.71 and 233.65

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Solution

The fourth proportional to 410.69, 566.71 and 233.65 is: 322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.69 : 566.71 = 233.65 : x
  2. Step 2: Convert to fraction form
    410.69/566.71 = 233.65/x
  3. Step 3: Cross multiply
    410.69x = 566.71 × 233.65
  4. Step 4: Simplify right side
    410.69x = 132,411.79
  5. Step 5: Solve for x
    x = 132,411.79/410.69
  6. Step 6: Final answer
    x = 322.41

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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.