Home / 420.21-629.90-160.15

Finding the Fourth Proportional to 420.21, 629.90 and 160.15

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Solution

The fourth proportional to 420.21, 629.90 and 160.15 is: 240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.21 : 629.90 = 160.15 : x
  2. Step 2: Convert to fraction form
    420.21/629.90 = 160.15/x
  3. Step 3: Cross multiply
    420.21x = 629.90 × 160.15
  4. Step 4: Simplify right side
    420.21x = 100,874.53
  5. Step 5: Solve for x
    x = 100,874.53/420.21
  6. Step 6: Final answer
    x = 240.06

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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.