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Finding the Fourth Proportional to 429.27, 646.25 and 293.18

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Solution

The fourth proportional to 429.27, 646.25 and 293.18 is: 441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.27 : 646.25 = 293.18 : x
  2. Step 2: Convert to fraction form
    429.27/646.25 = 293.18/x
  3. Step 3: Cross multiply
    429.27x = 646.25 × 293.18
  4. Step 4: Simplify right side
    429.27x = 189,462.88
  5. Step 5: Solve for x
    x = 189,462.88/429.27
  6. Step 6: Final answer
    x = 441.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.