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Finding the Fourth Proportional to 329.16, 491.51 and 294.53

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Solution

The fourth proportional to 329.16, 491.51 and 294.53 is: 439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.16 : 491.51 = 294.53 : x
  2. Step 2: Convert to fraction form
    329.16/491.51 = 294.53/x
  3. Step 3: Cross multiply
    329.16x = 491.51 × 294.53
  4. Step 4: Simplify right side
    329.16x = 144,762.97
  5. Step 5: Solve for x
    x = 144,762.97/329.16
  6. Step 6: Final answer
    x = 439.80

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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.