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Finding the Fourth Proportional to 738.84, 1,108.36 and 251.76

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Solution

The fourth proportional to 738.84, 1,108.36 and 251.76 is: 377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.84 : 1,108.36 = 251.76 : x
  2. Step 2: Convert to fraction form
    738.84/1,108.36 = 251.76/x
  3. Step 3: Cross multiply
    738.84x = 1,108.36 × 251.76
  4. Step 4: Simplify right side
    738.84x = 279,040.71
  5. Step 5: Solve for x
    x = 279,040.71/738.84
  6. Step 6: Final answer
    x = 377.67

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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.