Home / 420.21-630.25-160.20

Finding the Fourth Proportional to 420.21, 630.25 and 160.20

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Solution

The fourth proportional to 420.21, 630.25 and 160.20 is: 240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.21 : 630.25 = 160.20 : x
  2. Step 2: Convert to fraction form
    420.21/630.25 = 160.20/x
  3. Step 3: Cross multiply
    420.21x = 630.25 × 160.20
  4. Step 4: Simplify right side
    420.21x = 100,966.05
  5. Step 5: Solve for x
    x = 100,966.05/420.21
  6. Step 6: Final answer
    x = 240.28

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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.