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Finding the Fourth Proportional to 491.23, 737.02 and 296.37

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Solution

The fourth proportional to 491.23, 737.02 and 296.37 is: 444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.23 : 737.02 = 296.37 : x
  2. Step 2: Convert to fraction form
    491.23/737.02 = 296.37/x
  3. Step 3: Cross multiply
    491.23x = 737.02 × 296.37
  4. Step 4: Simplify right side
    491.23x = 218,430.62
  5. Step 5: Solve for x
    x = 218,430.62/491.23
  6. Step 6: Final answer
    x = 444.66

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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.