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Finding the Fourth Proportional to 339.83, 469.41 and 251.50

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Solution

The fourth proportional to 339.83, 469.41 and 251.50 is: 347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.83 : 469.41 = 251.50 : x
  2. Step 2: Convert to fraction form
    339.83/469.41 = 251.50/x
  3. Step 3: Cross multiply
    339.83x = 469.41 × 251.50
  4. Step 4: Simplify right side
    339.83x = 118,056.62
  5. Step 5: Solve for x
    x = 118,056.62/339.83
  6. Step 6: Final answer
    x = 347.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.