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Finding the Fourth Proportional to 419.50, 627.45 and 302.63

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Solution

The fourth proportional to 419.50, 627.45 and 302.63 is: 452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.50 : 627.45 = 302.63 : x
  2. Step 2: Convert to fraction form
    419.50/627.45 = 302.63/x
  3. Step 3: Cross multiply
    419.50x = 627.45 × 302.63
  4. Step 4: Simplify right side
    419.50x = 189,883.68
  5. Step 5: Solve for x
    x = 189,883.68/419.50
  6. Step 6: Final answer
    x = 452.65

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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.