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Finding the Fourth Proportional to 250.10, 345.12 and 145.17

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Solution

The fourth proportional to 250.10, 345.12 and 145.17 is: 200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.10 : 345.12 = 145.17 : x
  2. Step 2: Convert to fraction form
    250.10/345.12 = 145.17/x
  3. Step 3: Cross multiply
    250.10x = 345.12 × 145.17
  4. Step 4: Simplify right side
    250.10x = 50,101.07
  5. Step 5: Solve for x
    x = 50,101.07/250.10
  6. Step 6: Final answer
    x = 200.33

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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.