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Finding the Fourth Proportional to 419.89, 630.12 and 145.98

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Solution

The fourth proportional to 419.89, 630.12 and 145.98 is: 219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.89 : 630.12 = 145.98 : x
  2. Step 2: Convert to fraction form
    419.89/630.12 = 145.98/x
  3. Step 3: Cross multiply
    419.89x = 630.12 × 145.98
  4. Step 4: Simplify right side
    419.89x = 91,984.92
  5. Step 5: Solve for x
    x = 91,984.92/419.89
  6. Step 6: Final answer
    x = 219.07

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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.