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Finding the Fourth Proportional to 491.58, 735.93 and 259.92

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Solution

The fourth proportional to 491.58, 735.93 and 259.92 is: 389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.58 : 735.93 = 259.92 : x
  2. Step 2: Convert to fraction form
    491.58/735.93 = 259.92/x
  3. Step 3: Cross multiply
    491.58x = 735.93 × 259.92
  4. Step 4: Simplify right side
    491.58x = 191,282.93
  5. Step 5: Solve for x
    x = 191,282.93/491.58
  6. Step 6: Final answer
    x = 389.12

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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.