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Finding the Fourth Proportional to 345.93, 518.70 and 183.21

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Solution

The fourth proportional to 345.93, 518.70 and 183.21 is: 274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.93 : 518.70 = 183.21 : x
  2. Step 2: Convert to fraction form
    345.93/518.70 = 183.21/x
  3. Step 3: Cross multiply
    345.93x = 518.70 × 183.21
  4. Step 4: Simplify right side
    345.93x = 95,031.03
  5. Step 5: Solve for x
    x = 95,031.03/345.93
  6. Step 6: Final answer
    x = 274.71

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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.