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Finding the Fourth Proportional to 265.08, 395.01 and 257.25

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Solution

The fourth proportional to 265.08, 395.01 and 257.25 is: 383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.08 : 395.01 = 257.25 : x
  2. Step 2: Convert to fraction form
    265.08/395.01 = 257.25/x
  3. Step 3: Cross multiply
    265.08x = 395.01 × 257.25
  4. Step 4: Simplify right side
    265.08x = 101,616.32
  5. Step 5: Solve for x
    x = 101,616.32/265.08
  6. Step 6: Final answer
    x = 383.34

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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.