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Finding the Fourth Proportional to 406.19, 560.08 and 334.12

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Solution

The fourth proportional to 406.19, 560.08 and 334.12 is: 460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.19 : 560.08 = 334.12 : x
  2. Step 2: Convert to fraction form
    406.19/560.08 = 334.12/x
  3. Step 3: Cross multiply
    406.19x = 560.08 × 334.12
  4. Step 4: Simplify right side
    406.19x = 187,133.93
  5. Step 5: Solve for x
    x = 187,133.93/406.19
  6. Step 6: Final answer
    x = 460.71

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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.