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Finding the Fourth Proportional to 254.32, 350.90 and 175.80

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Solution

The fourth proportional to 254.32, 350.90 and 175.80 is: 242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.32 : 350.90 = 175.80 : x
  2. Step 2: Convert to fraction form
    254.32/350.90 = 175.80/x
  3. Step 3: Cross multiply
    254.32x = 350.90 × 175.80
  4. Step 4: Simplify right side
    254.32x = 61,688.22
  5. Step 5: Solve for x
    x = 61,688.22/254.32
  6. Step 6: Final answer
    x = 242.56

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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.