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Finding the Fourth Proportional to 329.48, 491.04 and 312.20

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Solution

The fourth proportional to 329.48, 491.04 and 312.20 is: 465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.48 : 491.04 = 312.20 : x
  2. Step 2: Convert to fraction form
    329.48/491.04 = 312.20/x
  3. Step 3: Cross multiply
    329.48x = 491.04 × 312.20
  4. Step 4: Simplify right side
    329.48x = 153,302.69
  5. Step 5: Solve for x
    x = 153,302.69/329.48
  6. Step 6: Final answer
    x = 465.29

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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.