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Finding the Fourth Proportional to 412.52, 569.24 and 228.52

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Solution

The fourth proportional to 412.52, 569.24 and 228.52 is: 315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.52 : 569.24 = 228.52 : x
  2. Step 2: Convert to fraction form
    412.52/569.24 = 228.52/x
  3. Step 3: Cross multiply
    412.52x = 569.24 × 228.52
  4. Step 4: Simplify right side
    412.52x = 130,082.72
  5. Step 5: Solve for x
    x = 130,082.72/412.52
  6. Step 6: Final answer
    x = 315.34

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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.