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Finding the Fourth Proportional to 419.25, 629.16 and 188.40

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Solution

The fourth proportional to 419.25, 629.16 and 188.40 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.25 : 629.16 = 188.40 : x
  2. Step 2: Convert to fraction form
    419.25/629.16 = 188.40/x
  3. Step 3: Cross multiply
    419.25x = 629.16 × 188.40
  4. Step 4: Simplify right side
    419.25x = 118,530.13
  5. Step 5: Solve for x
    x = 118,530.13/419.25
  6. Step 6: Final answer
    x = 282.72

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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.