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Finding the Fourth Proportional to 406.74, 561.29 and 229.71

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Solution

The fourth proportional to 406.74, 561.29 and 229.71 is: 317.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.74 : 561.29 = 229.71 : x
  2. Step 2: Convert to fraction form
    406.74/561.29 = 229.71/x
  3. Step 3: Cross multiply
    406.74x = 561.29 × 229.71
  4. Step 4: Simplify right side
    406.74x = 128,935.98
  5. Step 5: Solve for x
    x = 128,935.98/406.74
  6. Step 6: Final answer
    x = 317.00

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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.