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Finding the Fourth Proportional to 285.56, 394.08 and 175.10

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Solution

The fourth proportional to 285.56, 394.08 and 175.10 is: 241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.56 : 394.08 = 175.10 : x
  2. Step 2: Convert to fraction form
    285.56/394.08 = 175.10/x
  3. Step 3: Cross multiply
    285.56x = 394.08 × 175.10
  4. Step 4: Simplify right side
    285.56x = 69,003.41
  5. Step 5: Solve for x
    x = 69,003.41/285.56
  6. Step 6: Final answer
    x = 241.64

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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.