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Finding the Fourth Proportional to 493.88, 741.10 and 259.64

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Solution

The fourth proportional to 493.88, 741.10 and 259.64 is: 389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.88 : 741.10 = 259.64 : x
  2. Step 2: Convert to fraction form
    493.88/741.10 = 259.64/x
  3. Step 3: Cross multiply
    493.88x = 741.10 × 259.64
  4. Step 4: Simplify right side
    493.88x = 192,419.20
  5. Step 5: Solve for x
    x = 192,419.20/493.88
  6. Step 6: Final answer
    x = 389.61

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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.