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Finding the Fourth Proportional to 254, 350.43 and 155.65

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Solution

The fourth proportional to 254, 350.43 and 155.65 is: 214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254 : 350.43 = 155.65 : x
  2. Step 2: Convert to fraction form
    254/350.43 = 155.65/x
  3. Step 3: Cross multiply
    254x = 350.43 × 155.65
  4. Step 4: Simplify right side
    254x = 54,544.43
  5. Step 5: Solve for x
    x = 54,544.43/254
  6. Step 6: Final answer
    x = 214.74

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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.