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Finding the Fourth Proportional to 329.84, 491.52 and 310.36

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Solution

The fourth proportional to 329.84, 491.52 and 310.36 is: 462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.84 : 491.52 = 310.36 : x
  2. Step 2: Convert to fraction form
    329.84/491.52 = 310.36/x
  3. Step 3: Cross multiply
    329.84x = 491.52 × 310.36
  4. Step 4: Simplify right side
    329.84x = 152,548.15
  5. Step 5: Solve for x
    x = 152,548.15/329.84
  6. Step 6: Final answer
    x = 462.50

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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.