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Finding the Fourth Proportional to 360.99, 501.62 and 357.23

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Solution

The fourth proportional to 360.99, 501.62 and 357.23 is: 496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.99 : 501.62 = 357.23 : x
  2. Step 2: Convert to fraction form
    360.99/501.62 = 357.23/x
  3. Step 3: Cross multiply
    360.99x = 501.62 × 357.23
  4. Step 4: Simplify right side
    360.99x = 179,195.86
  5. Step 5: Solve for x
    x = 179,195.86/360.99
  6. Step 6: Final answer
    x = 496.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.