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Finding the Fourth Proportional to 419.54, 630.54 and 276.17

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Solution

The fourth proportional to 419.54, 630.54 and 276.17 is: 415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.54 : 630.54 = 276.17 : x
  2. Step 2: Convert to fraction form
    419.54/630.54 = 276.17/x
  3. Step 3: Cross multiply
    419.54x = 630.54 × 276.17
  4. Step 4: Simplify right side
    419.54x = 174,136.23
  5. Step 5: Solve for x
    x = 174,136.23/419.54
  6. Step 6: Final answer
    x = 415.06

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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.