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Finding the Fourth Proportional to 254.39, 350.83 and 170.40

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Solution

The fourth proportional to 254.39, 350.83 and 170.40 is: 235.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.39 : 350.83 = 170.40 : x
  2. Step 2: Convert to fraction form
    254.39/350.83 = 170.40/x
  3. Step 3: Cross multiply
    254.39x = 350.83 × 170.40
  4. Step 4: Simplify right side
    254.39x = 59,782.96
  5. Step 5: Solve for x
    x = 59,782.96/254.39
  6. Step 6: Final answer
    x = 235.00

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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.