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Finding the Fourth Proportional to 329.08, 491.51 and 257.08

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Solution

The fourth proportional to 329.08, 491.51 and 257.08 is: 383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.08 : 491.51 = 257.08 : x
  2. Step 2: Convert to fraction form
    329.08/491.51 = 257.08/x
  3. Step 3: Cross multiply
    329.08x = 491.51 × 257.08
  4. Step 4: Simplify right side
    329.08x = 126,357.39
  5. Step 5: Solve for x
    x = 126,357.39/329.08
  6. Step 6: Final answer
    x = 383.97

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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.