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Finding the Fourth Proportional to 385.98, 578.69 and 239.51

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Solution

The fourth proportional to 385.98, 578.69 and 239.51 is: 359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.98 : 578.69 = 239.51 : x
  2. Step 2: Convert to fraction form
    385.98/578.69 = 239.51/x
  3. Step 3: Cross multiply
    385.98x = 578.69 × 239.51
  4. Step 4: Simplify right side
    385.98x = 138,602.29
  5. Step 5: Solve for x
    x = 138,602.29/385.98
  6. Step 6: Final answer
    x = 359.09

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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.