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Finding the Fourth Proportional to 360.09, 537.36 and 346.86

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Solution

The fourth proportional to 360.09, 537.36 and 346.86 is: 517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.09 : 537.36 = 346.86 : x
  2. Step 2: Convert to fraction form
    360.09/537.36 = 346.86/x
  3. Step 3: Cross multiply
    360.09x = 537.36 × 346.86
  4. Step 4: Simplify right side
    360.09x = 186,388.69
  5. Step 5: Solve for x
    x = 186,388.69/360.09
  6. Step 6: Final answer
    x = 517.62

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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.