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Finding the Fourth Proportional to 491.87, 737.20 and 260.67

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Solution

The fourth proportional to 491.87, 737.20 and 260.67 is: 390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.87 : 737.20 = 260.67 : x
  2. Step 2: Convert to fraction form
    491.87/737.20 = 260.67/x
  3. Step 3: Cross multiply
    491.87x = 737.20 × 260.67
  4. Step 4: Simplify right side
    491.87x = 192,164.87
  5. Step 5: Solve for x
    x = 192,164.87/491.87
  6. Step 6: Final answer
    x = 390.68

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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.