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Finding the Fourth Proportional to 491.46, 736 and 260.55

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Solution

The fourth proportional to 491.46, 736 and 260.55 is: 390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.46 : 736 = 260.55 : x
  2. Step 2: Convert to fraction form
    491.46/736 = 260.55/x
  3. Step 3: Cross multiply
    491.46x = 736 × 260.55
  4. Step 4: Simplify right side
    491.46x = 191,764.80
  5. Step 5: Solve for x
    x = 191,764.80/491.46
  6. Step 6: Final answer
    x = 390.19

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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.