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Finding the Fourth Proportional to 418.98, 577.90 and 263.64

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Solution

The fourth proportional to 418.98, 577.90 and 263.64 is: 363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.98 : 577.90 = 263.64 : x
  2. Step 2: Convert to fraction form
    418.98/577.90 = 263.64/x
  3. Step 3: Cross multiply
    418.98x = 577.90 × 263.64
  4. Step 4: Simplify right side
    418.98x = 152,357.56
  5. Step 5: Solve for x
    x = 152,357.56/418.98
  6. Step 6: Final answer
    x = 363.64

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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.