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Finding the Fourth Proportional to 285.45, 393.19 and 241.14

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Solution

The fourth proportional to 285.45, 393.19 and 241.14 is: 332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.45 : 393.19 = 241.14 : x
  2. Step 2: Convert to fraction form
    285.45/393.19 = 241.14/x
  3. Step 3: Cross multiply
    285.45x = 393.19 × 241.14
  4. Step 4: Simplify right side
    285.45x = 94,813.84
  5. Step 5: Solve for x
    x = 94,813.84/285.45
  6. Step 6: Final answer
    x = 332.16

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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.