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Finding the Fourth Proportional to 468.31, 645.99 and 293.35

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Solution

The fourth proportional to 468.31, 645.99 and 293.35 is: 404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.31 : 645.99 = 293.35 : x
  2. Step 2: Convert to fraction form
    468.31/645.99 = 293.35/x
  3. Step 3: Cross multiply
    468.31x = 645.99 × 293.35
  4. Step 4: Simplify right side
    468.31x = 189,499.55
  5. Step 5: Solve for x
    x = 189,499.55/468.31
  6. Step 6: Final answer
    x = 404.65

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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.