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Finding the Fourth Proportional to 345.23, 518.25 and 139.95

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Solution

The fourth proportional to 345.23, 518.25 and 139.95 is: 210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.23 : 518.25 = 139.95 : x
  2. Step 2: Convert to fraction form
    345.23/518.25 = 139.95/x
  3. Step 3: Cross multiply
    345.23x = 518.25 × 139.95
  4. Step 4: Simplify right side
    345.23x = 72,529.09
  5. Step 5: Solve for x
    x = 72,529.09/345.23
  6. Step 6: Final answer
    x = 210.09

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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.