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Finding the Fourth Proportional to 453.96, 626.40 and 288.27

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Solution

The fourth proportional to 453.96, 626.40 and 288.27 is: 397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.96 : 626.40 = 288.27 : x
  2. Step 2: Convert to fraction form
    453.96/626.40 = 288.27/x
  3. Step 3: Cross multiply
    453.96x = 626.40 × 288.27
  4. Step 4: Simplify right side
    453.96x = 180,572.33
  5. Step 5: Solve for x
    x = 180,572.33/453.96
  6. Step 6: Final answer
    x = 397.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.