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Finding the Fourth Proportional to 350.19, 524.33 and 328.54

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Solution

The fourth proportional to 350.19, 524.33 and 328.54 is: 491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.19 : 524.33 = 328.54 : x
  2. Step 2: Convert to fraction form
    350.19/524.33 = 328.54/x
  3. Step 3: Cross multiply
    350.19x = 524.33 × 328.54
  4. Step 4: Simplify right side
    350.19x = 172,261.74
  5. Step 5: Solve for x
    x = 172,261.74/350.19
  6. Step 6: Final answer
    x = 491.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.