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Finding the Fourth Proportional to 329.48, 493.61 and 293.03

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Solution

The fourth proportional to 329.48, 493.61 and 293.03 is: 439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.48 : 493.61 = 293.03 : x
  2. Step 2: Convert to fraction form
    329.48/493.61 = 293.03/x
  3. Step 3: Cross multiply
    329.48x = 493.61 × 293.03
  4. Step 4: Simplify right side
    329.48x = 144,642.54
  5. Step 5: Solve for x
    x = 144,642.54/329.48
  6. Step 6: Final answer
    x = 439.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.