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Finding the Fourth Proportional to 345.68, 518.36 and 102.22

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Solution

The fourth proportional to 345.68, 518.36 and 102.22 is: 153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.68 : 518.36 = 102.22 : x
  2. Step 2: Convert to fraction form
    345.68/518.36 = 102.22/x
  3. Step 3: Cross multiply
    345.68x = 518.36 × 102.22
  4. Step 4: Simplify right side
    345.68x = 52,986.76
  5. Step 5: Solve for x
    x = 52,986.76/345.68
  6. Step 6: Final answer
    x = 153.28

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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.