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Finding the Fourth Proportional to 535.62, 738.62 and 369.56

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Solution

The fourth proportional to 535.62, 738.62 and 369.56 is: 509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.62 : 738.62 = 369.56 : x
  2. Step 2: Convert to fraction form
    535.62/738.62 = 369.56/x
  3. Step 3: Cross multiply
    535.62x = 738.62 × 369.56
  4. Step 4: Simplify right side
    535.62x = 272,964.41
  5. Step 5: Solve for x
    x = 272,964.41/535.62
  6. Step 6: Final answer
    x = 509.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.