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Finding the Fourth Proportional to 389.82, 587.03 and 339.07

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Solution

The fourth proportional to 389.82, 587.03 and 339.07 is: 510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.82 : 587.03 = 339.07 : x
  2. Step 2: Convert to fraction form
    389.82/587.03 = 339.07/x
  3. Step 3: Cross multiply
    389.82x = 587.03 × 339.07
  4. Step 4: Simplify right side
    389.82x = 199,044.55
  5. Step 5: Solve for x
    x = 199,044.55/389.82
  6. Step 6: Final answer
    x = 510.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.