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Finding the Fourth Proportional to 389.99, 585.05 and 173.56

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Solution

The fourth proportional to 389.99, 585.05 and 173.56 is: 260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.99 : 585.05 = 173.56 : x
  2. Step 2: Convert to fraction form
    389.99/585.05 = 173.56/x
  3. Step 3: Cross multiply
    389.99x = 585.05 × 173.56
  4. Step 4: Simplify right side
    389.99x = 101,541.28
  5. Step 5: Solve for x
    x = 101,541.28/389.99
  6. Step 6: Final answer
    x = 260.37

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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.