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Finding the Fourth Proportional to 302.33, 453.23 and 173.81

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Solution

The fourth proportional to 302.33, 453.23 and 173.81 is: 260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.33 : 453.23 = 173.81 : x
  2. Step 2: Convert to fraction form
    302.33/453.23 = 173.81/x
  3. Step 3: Cross multiply
    302.33x = 453.23 × 173.81
  4. Step 4: Simplify right side
    302.33x = 78,776.82
  5. Step 5: Solve for x
    x = 78,776.82/302.33
  6. Step 6: Final answer
    x = 260.56

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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.