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Finding the Fourth Proportional to 406, 560.32 and 229.01

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Solution

The fourth proportional to 406, 560.32 and 229.01 is: 316.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 560.32 = 229.01 : x
  2. Step 2: Convert to fraction form
    406/560.32 = 229.01/x
  3. Step 3: Cross multiply
    406x = 560.32 × 229.01
  4. Step 4: Simplify right side
    406x = 128,318.88
  5. Step 5: Solve for x
    x = 128,318.88/406
  6. Step 6: Final answer
    x = 316.06

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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.