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Finding the Fourth Proportional to 491.71, 737.28 and 260.71

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Solution

The fourth proportional to 491.71, 737.28 and 260.71 is: 390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.71 : 737.28 = 260.71 : x
  2. Step 2: Convert to fraction form
    491.71/737.28 = 260.71/x
  3. Step 3: Cross multiply
    491.71x = 737.28 × 260.71
  4. Step 4: Simplify right side
    491.71x = 192,216.27
  5. Step 5: Solve for x
    x = 192,216.27/491.71
  6. Step 6: Final answer
    x = 390.91

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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.