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Finding the Fourth Proportional to 360.50, 494.24 and 353.93

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Solution

The fourth proportional to 360.50, 494.24 and 353.93 is: 485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.50 : 494.24 = 353.93 : x
  2. Step 2: Convert to fraction form
    360.50/494.24 = 353.93/x
  3. Step 3: Cross multiply
    360.50x = 494.24 × 353.93
  4. Step 4: Simplify right side
    360.50x = 174,925.50
  5. Step 5: Solve for x
    x = 174,925.50/360.50
  6. Step 6: Final answer
    x = 485.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.