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Finding the Fourth Proportional to 418.35, 577.51 and 269.14

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Solution

The fourth proportional to 418.35, 577.51 and 269.14 is: 371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.35 : 577.51 = 269.14 : x
  2. Step 2: Convert to fraction form
    418.35/577.51 = 269.14/x
  3. Step 3: Cross multiply
    418.35x = 577.51 × 269.14
  4. Step 4: Simplify right side
    418.35x = 155,431.52
  5. Step 5: Solve for x
    x = 155,431.52/418.35
  6. Step 6: Final answer
    x = 371.54

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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.