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Finding the Fourth Proportional to 265.71, 365.77 and 230.54

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Solution

The fourth proportional to 265.71, 365.77 and 230.54 is: 317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.71 : 365.77 = 230.54 : x
  2. Step 2: Convert to fraction form
    265.71/365.77 = 230.54/x
  3. Step 3: Cross multiply
    265.71x = 365.77 × 230.54
  4. Step 4: Simplify right side
    265.71x = 84,323.36
  5. Step 5: Solve for x
    x = 84,323.36/265.71
  6. Step 6: Final answer
    x = 317.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.