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Finding the Fourth Proportional to 265.37, 398.21 and 142.06

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Solution

The fourth proportional to 265.37, 398.21 and 142.06 is: 213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.37 : 398.21 = 142.06 : x
  2. Step 2: Convert to fraction form
    265.37/398.21 = 142.06/x
  3. Step 3: Cross multiply
    265.37x = 398.21 × 142.06
  4. Step 4: Simplify right side
    265.37x = 56,568.01
  5. Step 5: Solve for x
    x = 56,568.01/265.37
  6. Step 6: Final answer
    x = 213.17

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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.