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Finding the Fourth Proportional to 365.83, 503.98 and 255.10

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Solution

The fourth proportional to 365.83, 503.98 and 255.10 is: 351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.83 : 503.98 = 255.10 : x
  2. Step 2: Convert to fraction form
    365.83/503.98 = 255.10/x
  3. Step 3: Cross multiply
    365.83x = 503.98 × 255.10
  4. Step 4: Simplify right side
    365.83x = 128,565.30
  5. Step 5: Solve for x
    x = 128,565.30/365.83
  6. Step 6: Final answer
    x = 351.43

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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.