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Finding the Fourth Proportional to 365.06, 500.80 and 355.88

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Solution

The fourth proportional to 365.06, 500.80 and 355.88 is: 488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.06 : 500.80 = 355.88 : x
  2. Step 2: Convert to fraction form
    365.06/500.80 = 355.88/x
  3. Step 3: Cross multiply
    365.06x = 500.80 × 355.88
  4. Step 4: Simplify right side
    365.06x = 178,224.70
  5. Step 5: Solve for x
    x = 178,224.70/365.06
  6. Step 6: Final answer
    x = 488.21

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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.