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Finding the Fourth Proportional to 491.64, 737.55 and 202.92

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Solution

The fourth proportional to 491.64, 737.55 and 202.92 is: 304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.64 : 737.55 = 202.92 : x
  2. Step 2: Convert to fraction form
    491.64/737.55 = 202.92/x
  3. Step 3: Cross multiply
    491.64x = 737.55 × 202.92
  4. Step 4: Simplify right side
    491.64x = 149,663.65
  5. Step 5: Solve for x
    x = 149,663.65/491.64
  6. Step 6: Final answer
    x = 304.42

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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.