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Finding the Fourth Proportional to 345.37, 518.34 and 242.86

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Solution

The fourth proportional to 345.37, 518.34 and 242.86 is: 364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.37 : 518.34 = 242.86 : x
  2. Step 2: Convert to fraction form
    345.37/518.34 = 242.86/x
  3. Step 3: Cross multiply
    345.37x = 518.34 × 242.86
  4. Step 4: Simplify right side
    345.37x = 125,884.05
  5. Step 5: Solve for x
    x = 125,884.05/345.37
  6. Step 6: Final answer
    x = 364.49

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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.