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Finding the Fourth Proportional to 329.65, 491.36 and 293.20

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Solution

The fourth proportional to 329.65, 491.36 and 293.20 is: 437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.65 : 491.36 = 293.20 : x
  2. Step 2: Convert to fraction form
    329.65/491.36 = 293.20/x
  3. Step 3: Cross multiply
    329.65x = 491.36 × 293.20
  4. Step 4: Simplify right side
    329.65x = 144,066.75
  5. Step 5: Solve for x
    x = 144,066.75/329.65
  6. Step 6: Final answer
    x = 437.03

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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.