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Finding the Fourth Proportional to 280.41, 384.92 and 258.54

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Solution

The fourth proportional to 280.41, 384.92 and 258.54 is: 354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.41 : 384.92 = 258.54 : x
  2. Step 2: Convert to fraction form
    280.41/384.92 = 258.54/x
  3. Step 3: Cross multiply
    280.41x = 384.92 × 258.54
  4. Step 4: Simplify right side
    280.41x = 99,515.92
  5. Step 5: Solve for x
    x = 99,515.92/280.41
  6. Step 6: Final answer
    x = 354.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.