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Finding the Fourth Proportional to 412.72, 569.28 and 257.20

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Solution

The fourth proportional to 412.72, 569.28 and 257.20 is: 354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.72 : 569.28 = 257.20 : x
  2. Step 2: Convert to fraction form
    412.72/569.28 = 257.20/x
  3. Step 3: Cross multiply
    412.72x = 569.28 × 257.20
  4. Step 4: Simplify right side
    412.72x = 146,418.82
  5. Step 5: Solve for x
    x = 146,418.82/412.72
  6. Step 6: Final answer
    x = 354.77

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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.