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Finding the Fourth Proportional to 374.63, 517.08 and 258.19

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Solution

The fourth proportional to 374.63, 517.08 and 258.19 is: 356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.63 : 517.08 = 258.19 : x
  2. Step 2: Convert to fraction form
    374.63/517.08 = 258.19/x
  3. Step 3: Cross multiply
    374.63x = 517.08 × 258.19
  4. Step 4: Simplify right side
    374.63x = 133,504.56
  5. Step 5: Solve for x
    x = 133,504.56/374.63
  6. Step 6: Final answer
    x = 356.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.