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Finding the Fourth Proportional to 419.48, 628.96 and 188.32

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Solution

The fourth proportional to 419.48, 628.96 and 188.32 is: 282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.48 : 628.96 = 188.32 : x
  2. Step 2: Convert to fraction form
    419.48/628.96 = 188.32/x
  3. Step 3: Cross multiply
    419.48x = 628.96 × 188.32
  4. Step 4: Simplify right side
    419.48x = 118,446.06
  5. Step 5: Solve for x
    x = 118,446.06/419.48
  6. Step 6: Final answer
    x = 282.37

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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.