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Finding the Fourth Proportional to 245.16, 369.66 and 230.34

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Solution

The fourth proportional to 245.16, 369.66 and 230.34 is: 347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.16 : 369.66 = 230.34 : x
  2. Step 2: Convert to fraction form
    245.16/369.66 = 230.34/x
  3. Step 3: Cross multiply
    245.16x = 369.66 × 230.34
  4. Step 4: Simplify right side
    245.16x = 85,147.48
  5. Step 5: Solve for x
    x = 85,147.48/245.16
  6. Step 6: Final answer
    x = 347.31

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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.