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Finding the Fourth Proportional to 245.23, 338.41 and 151.98

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Solution

The fourth proportional to 245.23, 338.41 and 151.98 is: 209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.23 : 338.41 = 151.98 : x
  2. Step 2: Convert to fraction form
    245.23/338.41 = 151.98/x
  3. Step 3: Cross multiply
    245.23x = 338.41 × 151.98
  4. Step 4: Simplify right side
    245.23x = 51,430.47
  5. Step 5: Solve for x
    x = 51,430.47/245.23
  6. Step 6: Final answer
    x = 209.73

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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.