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Finding the Fourth Proportional to 259.78, 389.83 and 239.74

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Solution

The fourth proportional to 259.78, 389.83 and 239.74 is: 359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.78 : 389.83 = 239.74 : x
  2. Step 2: Convert to fraction form
    259.78/389.83 = 239.74/x
  3. Step 3: Cross multiply
    259.78x = 389.83 × 239.74
  4. Step 4: Simplify right side
    259.78x = 93,457.84
  5. Step 5: Solve for x
    x = 93,457.84/259.78
  6. Step 6: Final answer
    x = 359.76

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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.