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Finding the Fourth Proportional to 259.47, 389.43 and 246.69

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Solution

The fourth proportional to 259.47, 389.43 and 246.69 is: 370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.47 : 389.43 = 246.69 : x
  2. Step 2: Convert to fraction form
    259.47/389.43 = 246.69/x
  3. Step 3: Cross multiply
    259.47x = 389.43 × 246.69
  4. Step 4: Simplify right side
    259.47x = 96,068.49
  5. Step 5: Solve for x
    x = 96,068.49/259.47
  6. Step 6: Final answer
    x = 370.25

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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.