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Finding the Fourth Proportional to 491.84, 737.82 and 145.19

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Solution

The fourth proportional to 491.84, 737.82 and 145.19 is: 217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.84 : 737.82 = 145.19 : x
  2. Step 2: Convert to fraction form
    491.84/737.82 = 145.19/x
  3. Step 3: Cross multiply
    491.84x = 737.82 × 145.19
  4. Step 4: Simplify right side
    491.84x = 107,125.93
  5. Step 5: Solve for x
    x = 107,125.93/491.84
  6. Step 6: Final answer
    x = 217.81

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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.