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Finding the Fourth Proportional to 291.42, 436.62 and 280.77

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Solution

The fourth proportional to 291.42, 436.62 and 280.77 is: 420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.42 : 436.62 = 280.77 : x
  2. Step 2: Convert to fraction form
    291.42/436.62 = 280.77/x
  3. Step 3: Cross multiply
    291.42x = 436.62 × 280.77
  4. Step 4: Simplify right side
    291.42x = 122,589.80
  5. Step 5: Solve for x
    x = 122,589.80/291.42
  6. Step 6: Final answer
    x = 420.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.