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Finding the Fourth Proportional to 419.94, 578.43 and 301.77

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Solution

The fourth proportional to 419.94, 578.43 and 301.77 is: 415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.94 : 578.43 = 301.77 : x
  2. Step 2: Convert to fraction form
    419.94/578.43 = 301.77/x
  3. Step 3: Cross multiply
    419.94x = 578.43 × 301.77
  4. Step 4: Simplify right side
    419.94x = 174,552.82
  5. Step 5: Solve for x
    x = 174,552.82/419.94
  6. Step 6: Final answer
    x = 415.66

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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.