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Finding the Fourth Proportional to 228.94, 317.44 and 225.16

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Solution

The fourth proportional to 228.94, 317.44 and 225.16 is: 312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.94 : 317.44 = 225.16 : x
  2. Step 2: Convert to fraction form
    228.94/317.44 = 225.16/x
  3. Step 3: Cross multiply
    228.94x = 317.44 × 225.16
  4. Step 4: Simplify right side
    228.94x = 71,474.79
  5. Step 5: Solve for x
    x = 71,474.79/228.94
  6. Step 6: Final answer
    x = 312.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.