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Finding the Fourth Proportional to 419.55, 579.03 and 253.91

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Solution

The fourth proportional to 419.55, 579.03 and 253.91 is: 350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.55 : 579.03 = 253.91 : x
  2. Step 2: Convert to fraction form
    419.55/579.03 = 253.91/x
  3. Step 3: Cross multiply
    419.55x = 579.03 × 253.91
  4. Step 4: Simplify right side
    419.55x = 147,017.34
  5. Step 5: Solve for x
    x = 147,017.34/419.55
  6. Step 6: Final answer
    x = 350.42

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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.