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Finding the Fourth Proportional to 265.48, 395.21 and 264.04

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Solution

The fourth proportional to 265.48, 395.21 and 264.04 is: 393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.48 : 395.21 = 264.04 : x
  2. Step 2: Convert to fraction form
    265.48/395.21 = 264.04/x
  3. Step 3: Cross multiply
    265.48x = 395.21 × 264.04
  4. Step 4: Simplify right side
    265.48x = 104,351.25
  5. Step 5: Solve for x
    x = 104,351.25/265.48
  6. Step 6: Final answer
    x = 393.07

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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.