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Finding the Fourth Proportional to 329.41, 491.56 and 293.05

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Solution

The fourth proportional to 329.41, 491.56 and 293.05 is: 437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.41 : 491.56 = 293.05 : x
  2. Step 2: Convert to fraction form
    329.41/491.56 = 293.05/x
  3. Step 3: Cross multiply
    329.41x = 491.56 × 293.05
  4. Step 4: Simplify right side
    329.41x = 144,051.66
  5. Step 5: Solve for x
    x = 144,051.66/329.41
  6. Step 6: Final answer
    x = 437.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.