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Finding the Fourth Proportional to 291.43, 436.66 and 280.62

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Solution

The fourth proportional to 291.43, 436.66 and 280.62 is: 420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.43 : 436.66 = 280.62 : x
  2. Step 2: Convert to fraction form
    291.43/436.66 = 280.62/x
  3. Step 3: Cross multiply
    291.43x = 436.66 × 280.62
  4. Step 4: Simplify right side
    291.43x = 122,535.53
  5. Step 5: Solve for x
    x = 122,535.53/291.43
  6. Step 6: Final answer
    x = 420.46

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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.