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Finding the Fourth Proportional to 351.31, 484.59 and 253.20

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Solution

The fourth proportional to 351.31, 484.59 and 253.20 is: 349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.31 : 484.59 = 253.20 : x
  2. Step 2: Convert to fraction form
    351.31/484.59 = 253.20/x
  3. Step 3: Cross multiply
    351.31x = 484.59 × 253.20
  4. Step 4: Simplify right side
    351.31x = 122,698.19
  5. Step 5: Solve for x
    x = 122,698.19/351.31
  6. Step 6: Final answer
    x = 349.26

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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.