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Finding the Fourth Proportional to 360.50, 498.39 and 345.20

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Solution

The fourth proportional to 360.50, 498.39 and 345.20 is: 477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.50 : 498.39 = 345.20 : x
  2. Step 2: Convert to fraction form
    360.50/498.39 = 345.20/x
  3. Step 3: Cross multiply
    360.50x = 498.39 × 345.20
  4. Step 4: Simplify right side
    360.50x = 172,044.23
  5. Step 5: Solve for x
    x = 172,044.23/360.50
  6. Step 6: Final answer
    x = 477.24

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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.