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Finding the Fourth Proportional to 265.79, 398.56 and 103.43

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Solution

The fourth proportional to 265.79, 398.56 and 103.43 is: 155.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.79 : 398.56 = 103.43 : x
  2. Step 2: Convert to fraction form
    265.79/398.56 = 103.43/x
  3. Step 3: Cross multiply
    265.79x = 398.56 × 103.43
  4. Step 4: Simplify right side
    265.79x = 41,220.81
  5. Step 5: Solve for x
    x = 41,220.81/265.79
  6. Step 6: Final answer
    x = 155.09

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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.