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Finding the Fourth Proportional to 420.53, 630.81 and 131.99

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Solution

The fourth proportional to 420.53, 630.81 and 131.99 is: 197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.53 : 630.81 = 131.99 : x
  2. Step 2: Convert to fraction form
    420.53/630.81 = 131.99/x
  3. Step 3: Cross multiply
    420.53x = 630.81 × 131.99
  4. Step 4: Simplify right side
    420.53x = 83,257.46
  5. Step 5: Solve for x
    x = 83,257.46/420.53
  6. Step 6: Final answer
    x = 197.98

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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.