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Finding the Fourth Proportional to 390.30, 585.64 and 173.86

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Solution

The fourth proportional to 390.30, 585.64 and 173.86 is: 260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.30 : 585.64 = 173.86 : x
  2. Step 2: Convert to fraction form
    390.30/585.64 = 173.86/x
  3. Step 3: Cross multiply
    390.30x = 585.64 × 173.86
  4. Step 4: Simplify right side
    390.30x = 101,819.37
  5. Step 5: Solve for x
    x = 101,819.37/390.30
  6. Step 6: Final answer
    x = 260.87

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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.