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Finding the Fourth Proportional to 406.13, 560.98 and 311.02

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Solution

The fourth proportional to 406.13, 560.98 and 311.02 is: 429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.13 : 560.98 = 311.02 : x
  2. Step 2: Convert to fraction form
    406.13/560.98 = 311.02/x
  3. Step 3: Cross multiply
    406.13x = 560.98 × 311.02
  4. Step 4: Simplify right side
    406.13x = 174,476.00
  5. Step 5: Solve for x
    x = 174,476.00/406.13
  6. Step 6: Final answer
    x = 429.61

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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.