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Finding the Fourth Proportional to 351.90, 525.56 and 283.56

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Solution

The fourth proportional to 351.90, 525.56 and 283.56 is: 423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.90 : 525.56 = 283.56 : x
  2. Step 2: Convert to fraction form
    351.90/525.56 = 283.56/x
  3. Step 3: Cross multiply
    351.90x = 525.56 × 283.56
  4. Step 4: Simplify right side
    351.90x = 149,027.79
  5. Step 5: Solve for x
    x = 149,027.79/351.90
  6. Step 6: Final answer
    x = 423.49

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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.