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Finding the Fourth Proportional to 291.77, 436.71 and 276.74

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Solution

The fourth proportional to 291.77, 436.71 and 276.74 is: 414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.77 : 436.71 = 276.74 : x
  2. Step 2: Convert to fraction form
    291.77/436.71 = 276.74/x
  3. Step 3: Cross multiply
    291.77x = 436.71 × 276.74
  4. Step 4: Simplify right side
    291.77x = 120,852.94
  5. Step 5: Solve for x
    x = 120,852.94/291.77
  6. Step 6: Final answer
    x = 414.21

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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.