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Finding the Fourth Proportional to 329.59, 491 and 313.80

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Solution

The fourth proportional to 329.59, 491 and 313.80 is: 467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.59 : 491 = 313.80 : x
  2. Step 2: Convert to fraction form
    329.59/491 = 313.80/x
  3. Step 3: Cross multiply
    329.59x = 491 × 313.80
  4. Step 4: Simplify right side
    329.59x = 154,075.80
  5. Step 5: Solve for x
    x = 154,075.80/329.59
  6. Step 6: Final answer
    x = 467.48

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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.