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Finding the Fourth Proportional to 369.29, 552.29 and 328.42

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Solution

The fourth proportional to 369.29, 552.29 and 328.42 is: 491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.29 : 552.29 = 328.42 : x
  2. Step 2: Convert to fraction form
    369.29/552.29 = 328.42/x
  3. Step 3: Cross multiply
    369.29x = 552.29 × 328.42
  4. Step 4: Simplify right side
    369.29x = 181,380.32
  5. Step 5: Solve for x
    x = 181,380.32/369.29
  6. Step 6: Final answer
    x = 491.17

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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.