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Finding the Fourth Proportional to 535.76, 738.84 and 359.12

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Solution

The fourth proportional to 535.76, 738.84 and 359.12 is: 495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.76 : 738.84 = 359.12 : x
  2. Step 2: Convert to fraction form
    535.76/738.84 = 359.12/x
  3. Step 3: Cross multiply
    535.76x = 738.84 × 359.12
  4. Step 4: Simplify right side
    535.76x = 265,332.22
  5. Step 5: Solve for x
    x = 265,332.22/535.76
  6. Step 6: Final answer
    x = 495.24

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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.