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Finding the Fourth Proportional to 265.02, 365.81 and 199.59

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Solution

The fourth proportional to 265.02, 365.81 and 199.59 is: 275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.02 : 365.81 = 199.59 : x
  2. Step 2: Convert to fraction form
    265.02/365.81 = 199.59/x
  3. Step 3: Cross multiply
    265.02x = 365.81 × 199.59
  4. Step 4: Simplify right side
    265.02x = 73,011.02
  5. Step 5: Solve for x
    x = 73,011.02/265.02
  6. Step 6: Final answer
    x = 275.49

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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.