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Finding the Fourth Proportional to 264.70, 395.35 and 228.25

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Solution

The fourth proportional to 264.70, 395.35 and 228.25 is: 340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.70 : 395.35 = 228.25 : x
  2. Step 2: Convert to fraction form
    264.70/395.35 = 228.25/x
  3. Step 3: Cross multiply
    264.70x = 395.35 × 228.25
  4. Step 4: Simplify right side
    264.70x = 90,238.56
  5. Step 5: Solve for x
    x = 90,238.56/264.70
  6. Step 6: Final answer
    x = 340.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.