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Finding the Fourth Proportional to 265.81, 398.84 and 127.03

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Solution

The fourth proportional to 265.81, 398.84 and 127.03 is: 190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.81 : 398.84 = 127.03 : x
  2. Step 2: Convert to fraction form
    265.81/398.84 = 127.03/x
  3. Step 3: Cross multiply
    265.81x = 398.84 × 127.03
  4. Step 4: Simplify right side
    265.81x = 50,664.01
  5. Step 5: Solve for x
    x = 50,664.01/265.81
  6. Step 6: Final answer
    x = 190.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.