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Finding the Fourth Proportional to 535.00, 738.37 and 313.95

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Solution

The fourth proportional to 535.00, 738.37 and 313.95 is: 433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.00 : 738.37 = 313.95 : x
  2. Step 2: Convert to fraction form
    535.00/738.37 = 313.95/x
  3. Step 3: Cross multiply
    535.00x = 738.37 × 313.95
  4. Step 4: Simplify right side
    535.00x = 231,813.91
  5. Step 5: Solve for x
    x = 231,813.91/535.00
  6. Step 6: Final answer
    x = 433.29

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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.