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Finding the Fourth Proportional to 356.29, 531.81 and 330.23

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Solution

The fourth proportional to 356.29, 531.81 and 330.23 is: 492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.29 : 531.81 = 330.23 : x
  2. Step 2: Convert to fraction form
    356.29/531.81 = 330.23/x
  3. Step 3: Cross multiply
    356.29x = 531.81 × 330.23
  4. Step 4: Simplify right side
    356.29x = 175,620.95
  5. Step 5: Solve for x
    x = 175,620.95/356.29
  6. Step 6: Final answer
    x = 492.92

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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.