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Finding the Fourth Proportional to 491.35, 736.16 and 259.73

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Solution

The fourth proportional to 491.35, 736.16 and 259.73 is: 389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.35 : 736.16 = 259.73 : x
  2. Step 2: Convert to fraction form
    491.35/736.16 = 259.73/x
  3. Step 3: Cross multiply
    491.35x = 736.16 × 259.73
  4. Step 4: Simplify right side
    491.35x = 191,199.58
  5. Step 5: Solve for x
    x = 191,199.58/491.35
  6. Step 6: Final answer
    x = 389.13

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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.