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Finding the Fourth Proportional to 329.48, 491.28 and 317.64

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Solution

The fourth proportional to 329.48, 491.28 and 317.64 is: 473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.48 : 491.28 = 317.64 : x
  2. Step 2: Convert to fraction form
    329.48/491.28 = 317.64/x
  3. Step 3: Cross multiply
    329.48x = 491.28 × 317.64
  4. Step 4: Simplify right side
    329.48x = 156,050.18
  5. Step 5: Solve for x
    x = 156,050.18/329.48
  6. Step 6: Final answer
    x = 473.63

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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.