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Finding the Fourth Proportional to 369.06, 509 and 258.40

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Solution

The fourth proportional to 369.06, 509 and 258.40 is: 356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.06 : 509 = 258.40 : x
  2. Step 2: Convert to fraction form
    369.06/509 = 258.40/x
  3. Step 3: Cross multiply
    369.06x = 509 × 258.40
  4. Step 4: Simplify right side
    369.06x = 131,525.60
  5. Step 5: Solve for x
    x = 131,525.60/369.06
  6. Step 6: Final answer
    x = 356.38

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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.