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Finding the Fourth Proportional to 338.64, 509.74 and 258.48

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Solution

The fourth proportional to 338.64, 509.74 and 258.48 is: 389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.64 : 509.74 = 258.48 : x
  2. Step 2: Convert to fraction form
    338.64/509.74 = 258.48/x
  3. Step 3: Cross multiply
    338.64x = 509.74 × 258.48
  4. Step 4: Simplify right side
    338.64x = 131,757.60
  5. Step 5: Solve for x
    x = 131,757.60/338.64
  6. Step 6: Final answer
    x = 389.08

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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.