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Finding the Fourth Proportional to 355.54, 533.69 and 258.19

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Solution

The fourth proportional to 355.54, 533.69 and 258.19 is: 387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.54 : 533.69 = 258.19 : x
  2. Step 2: Convert to fraction form
    355.54/533.69 = 258.19/x
  3. Step 3: Cross multiply
    355.54x = 533.69 × 258.19
  4. Step 4: Simplify right side
    355.54x = 137,791.76
  5. Step 5: Solve for x
    x = 137,791.76/355.54
  6. Step 6: Final answer
    x = 387.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.