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Finding the Fourth Proportional to 406.49, 560.25 and 293.02

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Solution

The fourth proportional to 406.49, 560.25 and 293.02 is: 403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.49 : 560.25 = 293.02 : x
  2. Step 2: Convert to fraction form
    406.49/560.25 = 293.02/x
  3. Step 3: Cross multiply
    406.49x = 560.25 × 293.02
  4. Step 4: Simplify right side
    406.49x = 164,163.05
  5. Step 5: Solve for x
    x = 164,163.05/406.49
  6. Step 6: Final answer
    x = 403.86

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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.