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Finding the Fourth Proportional to 535.18, 738.20 and 328.18

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Solution

The fourth proportional to 535.18, 738.20 and 328.18 is: 452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.18 : 738.20 = 328.18 : x
  2. Step 2: Convert to fraction form
    535.18/738.20 = 328.18/x
  3. Step 3: Cross multiply
    535.18x = 738.20 × 328.18
  4. Step 4: Simplify right side
    535.18x = 242,262.48
  5. Step 5: Solve for x
    x = 242,262.48/535.18
  6. Step 6: Final answer
    x = 452.67

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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.