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Finding the Fourth Proportional to 419.83, 579 and 262.30

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Solution

The fourth proportional to 419.83, 579 and 262.30 is: 361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.83 : 579 = 262.30 : x
  2. Step 2: Convert to fraction form
    419.83/579 = 262.30/x
  3. Step 3: Cross multiply
    419.83x = 579 × 262.30
  4. Step 4: Simplify right side
    419.83x = 151,870.25
  5. Step 5: Solve for x
    x = 151,870.25/419.83
  6. Step 6: Final answer
    x = 361.74

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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.