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Finding the Fourth Proportional to 360.90, 537.02 and 359.69

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Solution

The fourth proportional to 360.90, 537.02 and 359.69 is: 535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.90 : 537.02 = 359.69 : x
  2. Step 2: Convert to fraction form
    360.90/537.02 = 359.69/x
  3. Step 3: Cross multiply
    360.90x = 537.02 × 359.69
  4. Step 4: Simplify right side
    360.90x = 193,156.24
  5. Step 5: Solve for x
    x = 193,156.24/360.90
  6. Step 6: Final answer
    x = 535.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.