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Finding the Fourth Proportional to 418.61, 577.62 and 261.23

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Solution

The fourth proportional to 418.61, 577.62 and 261.23 is: 360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.61 : 577.62 = 261.23 : x
  2. Step 2: Convert to fraction form
    418.61/577.62 = 261.23/x
  3. Step 3: Cross multiply
    418.61x = 577.62 × 261.23
  4. Step 4: Simplify right side
    418.61x = 150,888.78
  5. Step 5: Solve for x
    x = 150,888.78/418.61
  6. Step 6: Final answer
    x = 360.45

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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.