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Finding the Fourth Proportional to 354.16, 533.26 and 258.64

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Solution

The fourth proportional to 354.16, 533.26 and 258.64 is: 389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.16 : 533.26 = 258.64 : x
  2. Step 2: Convert to fraction form
    354.16/533.26 = 258.64/x
  3. Step 3: Cross multiply
    354.16x = 533.26 × 258.64
  4. Step 4: Simplify right side
    354.16x = 137,922.37
  5. Step 5: Solve for x
    x = 137,922.37/354.16
  6. Step 6: Final answer
    x = 389.44

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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.