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Finding the Fourth Proportional to 245.22, 369.48 and 233.10

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Solution

The fourth proportional to 245.22, 369.48 and 233.10 is: 351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.22 : 369.48 = 233.10 : x
  2. Step 2: Convert to fraction form
    245.22/369.48 = 233.10/x
  3. Step 3: Cross multiply
    245.22x = 369.48 × 233.10
  4. Step 4: Simplify right side
    245.22x = 86,125.79
  5. Step 5: Solve for x
    x = 86,125.79/245.22
  6. Step 6: Final answer
    x = 351.22

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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.