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Finding the Fourth Proportional to 427.55, 589.82 and 261.77

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Solution

The fourth proportional to 427.55, 589.82 and 261.77 is: 361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.55 : 589.82 = 261.77 : x
  2. Step 2: Convert to fraction form
    427.55/589.82 = 261.77/x
  3. Step 3: Cross multiply
    427.55x = 589.82 × 261.77
  4. Step 4: Simplify right side
    427.55x = 154,392.92
  5. Step 5: Solve for x
    x = 154,392.92/427.55
  6. Step 6: Final answer
    x = 361.12

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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.