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Finding the Fourth Proportional to 245.84, 368.50 and 91.67

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Solution

The fourth proportional to 245.84, 368.50 and 91.67 is: 137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.84 : 368.50 = 91.67 : x
  2. Step 2: Convert to fraction form
    245.84/368.50 = 91.67/x
  3. Step 3: Cross multiply
    245.84x = 368.50 × 91.67
  4. Step 4: Simplify right side
    245.84x = 33,778.55
  5. Step 5: Solve for x
    x = 33,778.55/245.84
  6. Step 6: Final answer
    x = 137.40

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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.