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Finding the Fourth Proportional to 265.39, 395.21 and 258.57

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Solution

The fourth proportional to 265.39, 395.21 and 258.57 is: 385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.39 : 395.21 = 258.57 : x
  2. Step 2: Convert to fraction form
    265.39/395.21 = 258.57/x
  3. Step 3: Cross multiply
    265.39x = 395.21 × 258.57
  4. Step 4: Simplify right side
    265.39x = 102,189.45
  5. Step 5: Solve for x
    x = 102,189.45/265.39
  6. Step 6: Final answer
    x = 385.05

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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.