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Finding the Fourth Proportional to 429.51, 646.62 and 293.43

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Solution

The fourth proportional to 429.51, 646.62 and 293.43 is: 441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.51 : 646.62 = 293.43 : x
  2. Step 2: Convert to fraction form
    429.51/646.62 = 293.43/x
  3. Step 3: Cross multiply
    429.51x = 646.62 × 293.43
  4. Step 4: Simplify right side
    429.51x = 189,737.71
  5. Step 5: Solve for x
    x = 189,737.71/429.51
  6. Step 6: Final answer
    x = 441.75

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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.