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Finding the Fourth Proportional to 245.21, 369.24 and 177.21

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Solution

The fourth proportional to 245.21, 369.24 and 177.21 is: 266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.21 : 369.24 = 177.21 : x
  2. Step 2: Convert to fraction form
    245.21/369.24 = 177.21/x
  3. Step 3: Cross multiply
    245.21x = 369.24 × 177.21
  4. Step 4: Simplify right side
    245.21x = 65,433.02
  5. Step 5: Solve for x
    x = 65,433.02/245.21
  6. Step 6: Final answer
    x = 266.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.