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Finding the Fourth Proportional to 339.87, 469.08 and 257.25

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Solution

The fourth proportional to 339.87, 469.08 and 257.25 is: 355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.87 : 469.08 = 257.25 : x
  2. Step 2: Convert to fraction form
    339.87/469.08 = 257.25/x
  3. Step 3: Cross multiply
    339.87x = 469.08 × 257.25
  4. Step 4: Simplify right side
    339.87x = 120,670.83
  5. Step 5: Solve for x
    x = 120,670.83/339.87
  6. Step 6: Final answer
    x = 355.05

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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.