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Finding the Fourth Proportional to 359.28, 538 and 298.23

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Solution

The fourth proportional to 359.28, 538 and 298.23 is: 446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.28 : 538 = 298.23 : x
  2. Step 2: Convert to fraction form
    359.28/538 = 298.23/x
  3. Step 3: Cross multiply
    359.28x = 538 × 298.23
  4. Step 4: Simplify right side
    359.28x = 160,447.74
  5. Step 5: Solve for x
    x = 160,447.74/359.28
  6. Step 6: Final answer
    x = 446.58

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