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Finding the Fourth Proportional to 339.02, 507.41 and 257.41

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Solution

The fourth proportional to 339.02, 507.41 and 257.41 is: 385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.02 : 507.41 = 257.41 : x
  2. Step 2: Convert to fraction form
    339.02/507.41 = 257.41/x
  3. Step 3: Cross multiply
    339.02x = 507.41 × 257.41
  4. Step 4: Simplify right side
    339.02x = 130,612.41
  5. Step 5: Solve for x
    x = 130,612.41/339.02
  6. Step 6: Final answer
    x = 385.26

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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.