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Finding the Fourth Proportional to 345.70, 518.57 and 102.25

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Solution

The fourth proportional to 345.70, 518.57 and 102.25 is: 153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.70 : 518.57 = 102.25 : x
  2. Step 2: Convert to fraction form
    345.70/518.57 = 102.25/x
  3. Step 3: Cross multiply
    345.70x = 518.57 × 102.25
  4. Step 4: Simplify right side
    345.70x = 53,022.74
  5. Step 5: Solve for x
    x = 53,022.74/345.70
  6. Step 6: Final answer
    x = 153.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.