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Finding the Fourth Proportional to 245.21, 338.54 and 156.69

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Solution

The fourth proportional to 245.21, 338.54 and 156.69 is: 216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.21 : 338.54 = 156.69 : x
  2. Step 2: Convert to fraction form
    245.21/338.54 = 156.69/x
  3. Step 3: Cross multiply
    245.21x = 338.54 × 156.69
  4. Step 4: Simplify right side
    245.21x = 53,045.05
  5. Step 5: Solve for x
    x = 53,045.05/245.21
  6. Step 6: Final answer
    x = 216.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.