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Finding the Fourth Proportional to 420.12, 630.21 and 146.22

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Solution

The fourth proportional to 420.12, 630.21 and 146.22 is: 219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.12 : 630.21 = 146.22 : x
  2. Step 2: Convert to fraction form
    420.12/630.21 = 146.22/x
  3. Step 3: Cross multiply
    420.12x = 630.21 × 146.22
  4. Step 4: Simplify right side
    420.12x = 92,148.58
  5. Step 5: Solve for x
    x = 92,148.58/420.12
  6. Step 6: Final answer
    x = 219.34

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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.