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Finding the Fourth Proportional to 265.44, 397.82 and 143.40

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Solution

The fourth proportional to 265.44, 397.82 and 143.40 is: 214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.44 : 397.82 = 143.40 : x
  2. Step 2: Convert to fraction form
    265.44/397.82 = 143.40/x
  3. Step 3: Cross multiply
    265.44x = 397.82 × 143.40
  4. Step 4: Simplify right side
    265.44x = 57,047.39
  5. Step 5: Solve for x
    x = 57,047.39/265.44
  6. Step 6: Final answer
    x = 214.92

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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.