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Finding the Fourth Proportional to 491.86, 737.97 and 355.06

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Solution

The fourth proportional to 491.86, 737.97 and 355.06 is: 532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.86 : 737.97 = 355.06 : x
  2. Step 2: Convert to fraction form
    491.86/737.97 = 355.06/x
  3. Step 3: Cross multiply
    491.86x = 737.97 × 355.06
  4. Step 4: Simplify right side
    491.86x = 262,023.63
  5. Step 5: Solve for x
    x = 262,023.63/491.86
  6. Step 6: Final answer
    x = 532.72

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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.