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Finding the Fourth Proportional to 291.80, 437.77 and 86.43

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Solution

The fourth proportional to 291.80, 437.77 and 86.43 is: 129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.80 : 437.77 = 86.43 : x
  2. Step 2: Convert to fraction form
    291.80/437.77 = 86.43/x
  3. Step 3: Cross multiply
    291.80x = 437.77 × 86.43
  4. Step 4: Simplify right side
    291.80x = 37,838.21
  5. Step 5: Solve for x
    x = 37,838.21/291.80
  6. Step 6: Final answer
    x = 129.67

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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.