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Finding the Fourth Proportional to 354.08, 533.12 and 258.56

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Solution

The fourth proportional to 354.08, 533.12 and 258.56 is: 389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.08 : 533.12 = 258.56 : x
  2. Step 2: Convert to fraction form
    354.08/533.12 = 258.56/x
  3. Step 3: Cross multiply
    354.08x = 533.12 × 258.56
  4. Step 4: Simplify right side
    354.08x = 137,843.51
  5. Step 5: Solve for x
    x = 137,843.51/354.08
  6. Step 6: Final answer
    x = 389.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.