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Finding the Fourth Proportional to 265.41, 397.64 and 143.60

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Solution

The fourth proportional to 265.41, 397.64 and 143.60 is: 215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.41 : 397.64 = 143.60 : x
  2. Step 2: Convert to fraction form
    265.41/397.64 = 143.60/x
  3. Step 3: Cross multiply
    265.41x = 397.64 × 143.60
  4. Step 4: Simplify right side
    265.41x = 57,099.47
  5. Step 5: Solve for x
    x = 57,099.47/265.41
  6. Step 6: Final answer
    x = 215.14

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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.