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Finding the Fourth Proportional to 339.04, 507.39 and 257.41

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Solution

The fourth proportional to 339.04, 507.39 and 257.41 is: 385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.04 : 507.39 = 257.41 : x
  2. Step 2: Convert to fraction form
    339.04/507.39 = 257.41/x
  3. Step 3: Cross multiply
    339.04x = 507.39 × 257.41
  4. Step 4: Simplify right side
    339.04x = 130,607.26
  5. Step 5: Solve for x
    x = 130,607.26/339.04
  6. Step 6: Final answer
    x = 385.23

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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.