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Finding the Fourth Proportional to 419.76, 578 and 367.20

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Solution

The fourth proportional to 419.76, 578 and 367.20 is: 505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 578 = 367.20 : x
  2. Step 2: Convert to fraction form
    419.76/578 = 367.20/x
  3. Step 3: Cross multiply
    419.76x = 578 × 367.20
  4. Step 4: Simplify right side
    419.76x = 212,241.60
  5. Step 5: Solve for x
    x = 212,241.60/419.76
  6. Step 6: Final answer
    x = 505.63

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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.