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Finding the Fourth Proportional to 406, 560.29 and 222

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Solution

The fourth proportional to 406, 560.29 and 222 is: 306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 560.29 = 222 : x
  2. Step 2: Convert to fraction form
    406/560.29 = 222/x
  3. Step 3: Cross multiply
    406x = 560.29 × 222
  4. Step 4: Simplify right side
    406x = 124,384.38
  5. Step 5: Solve for x
    x = 124,384.38/406
  6. Step 6: Final answer
    x = 306.37

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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.