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Finding the Fourth Proportional to 345.58, 518.33 and 137.30

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Solution

The fourth proportional to 345.58, 518.33 and 137.30 is: 205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.58 : 518.33 = 137.30 : x
  2. Step 2: Convert to fraction form
    345.58/518.33 = 137.30/x
  3. Step 3: Cross multiply
    345.58x = 518.33 × 137.30
  4. Step 4: Simplify right side
    345.58x = 71,166.71
  5. Step 5: Solve for x
    x = 71,166.71/345.58
  6. Step 6: Final answer
    x = 205.93

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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.