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Finding the Fourth Proportional to 484.36, 725.92 and 253.20

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Solution

The fourth proportional to 484.36, 725.92 and 253.20 is: 379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.36 : 725.92 = 253.20 : x
  2. Step 2: Convert to fraction form
    484.36/725.92 = 253.20/x
  3. Step 3: Cross multiply
    484.36x = 725.92 × 253.20
  4. Step 4: Simplify right side
    484.36x = 183,802.94
  5. Step 5: Solve for x
    x = 183,802.94/484.36
  6. Step 6: Final answer
    x = 379.48

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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.