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Finding the Fourth Proportional to 258.36, 354.23 and 253.74

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Solution

The fourth proportional to 258.36, 354.23 and 253.74 is: 347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.36 : 354.23 = 253.74 : x
  2. Step 2: Convert to fraction form
    258.36/354.23 = 253.74/x
  3. Step 3: Cross multiply
    258.36x = 354.23 × 253.74
  4. Step 4: Simplify right side
    258.36x = 89,881.05
  5. Step 5: Solve for x
    x = 89,881.05/258.36
  6. Step 6: Final answer
    x = 347.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.