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Finding the Fourth Proportional to 270.35, 402.81 and 258.56

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Solution

The fourth proportional to 270.35, 402.81 and 258.56 is: 385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.35 : 402.81 = 258.56 : x
  2. Step 2: Convert to fraction form
    270.35/402.81 = 258.56/x
  3. Step 3: Cross multiply
    270.35x = 402.81 × 258.56
  4. Step 4: Simplify right side
    270.35x = 104,148.54
  5. Step 5: Solve for x
    x = 104,148.54/270.35
  6. Step 6: Final answer
    x = 385.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.