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Finding the Fourth Proportional to 389.40, 584.31 and 172.98

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Solution

The fourth proportional to 389.40, 584.31 and 172.98 is: 259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.40 : 584.31 = 172.98 : x
  2. Step 2: Convert to fraction form
    389.40/584.31 = 172.98/x
  3. Step 3: Cross multiply
    389.40x = 584.31 × 172.98
  4. Step 4: Simplify right side
    389.40x = 101,073.94
  5. Step 5: Solve for x
    x = 101,073.94/389.40
  6. Step 6: Final answer
    x = 259.56

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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.