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Finding the Fourth Proportional to 368.94, 509.28 and 250.86

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Solution

The fourth proportional to 368.94, 509.28 and 250.86 is: 346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.94 : 509.28 = 250.86 : x
  2. Step 2: Convert to fraction form
    368.94/509.28 = 250.86/x
  3. Step 3: Cross multiply
    368.94x = 509.28 × 250.86
  4. Step 4: Simplify right side
    368.94x = 127,757.98
  5. Step 5: Solve for x
    x = 127,757.98/368.94
  6. Step 6: Final answer
    x = 346.28

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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.