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Finding the Fourth Proportional to 383.99, 529.29 and 259.61

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Solution

The fourth proportional to 383.99, 529.29 and 259.61 is: 357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.99 : 529.29 = 259.61 : x
  2. Step 2: Convert to fraction form
    383.99/529.29 = 259.61/x
  3. Step 3: Cross multiply
    383.99x = 529.29 × 259.61
  4. Step 4: Simplify right side
    383.99x = 137,410.30
  5. Step 5: Solve for x
    x = 137,410.30/383.99
  6. Step 6: Final answer
    x = 357.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.