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Finding the Fourth Proportional to 484.25, 727.67 and 265.01

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Solution

The fourth proportional to 484.25, 727.67 and 265.01 is: 398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.25 : 727.67 = 265.01 : x
  2. Step 2: Convert to fraction form
    484.25/727.67 = 265.01/x
  3. Step 3: Cross multiply
    484.25x = 727.67 × 265.01
  4. Step 4: Simplify right side
    484.25x = 192,840.32
  5. Step 5: Solve for x
    x = 192,840.32/484.25
  6. Step 6: Final answer
    x = 398.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.