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Finding the Fourth Proportional to 419.86, 629.25 and 176.05

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Solution

The fourth proportional to 419.86, 629.25 and 176.05 is: 263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.86 : 629.25 = 176.05 : x
  2. Step 2: Convert to fraction form
    419.86/629.25 = 176.05/x
  3. Step 3: Cross multiply
    419.86x = 629.25 × 176.05
  4. Step 4: Simplify right side
    419.86x = 110,779.46
  5. Step 5: Solve for x
    x = 110,779.46/419.86
  6. Step 6: Final answer
    x = 263.85

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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.