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Finding the Fourth Proportional to 419.72, 578.96 and 295.49

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Solution

The fourth proportional to 419.72, 578.96 and 295.49 is: 407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.72 : 578.96 = 295.49 : x
  2. Step 2: Convert to fraction form
    419.72/578.96 = 295.49/x
  3. Step 3: Cross multiply
    419.72x = 578.96 × 295.49
  4. Step 4: Simplify right side
    419.72x = 171,076.89
  5. Step 5: Solve for x
    x = 171,076.89/419.72
  6. Step 6: Final answer
    x = 407.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.