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Finding the Fourth Proportional to 420.01, 630.34 and 176.73

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Solution

The fourth proportional to 420.01, 630.34 and 176.73 is: 265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.01 : 630.34 = 176.73 : x
  2. Step 2: Convert to fraction form
    420.01/630.34 = 176.73/x
  3. Step 3: Cross multiply
    420.01x = 630.34 × 176.73
  4. Step 4: Simplify right side
    420.01x = 111,399.10
  5. Step 5: Solve for x
    x = 111,399.10/420.01
  6. Step 6: Final answer
    x = 265.23

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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.