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Finding the Fourth Proportional to 329.37, 491.15 and 307.03

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Solution

The fourth proportional to 329.37, 491.15 and 307.03 is: 457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.37 : 491.15 = 307.03 : x
  2. Step 2: Convert to fraction form
    329.37/491.15 = 307.03/x
  3. Step 3: Cross multiply
    329.37x = 491.15 × 307.03
  4. Step 4: Simplify right side
    329.37x = 150,797.78
  5. Step 5: Solve for x
    x = 150,797.78/329.37
  6. Step 6: Final answer
    x = 457.84

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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.