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Finding the Fourth Proportional to 368.98, 509.86 and 319.78

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Solution

The fourth proportional to 368.98, 509.86 and 319.78 is: 441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.98 : 509.86 = 319.78 : x
  2. Step 2: Convert to fraction form
    368.98/509.86 = 319.78/x
  3. Step 3: Cross multiply
    368.98x = 509.86 × 319.78
  4. Step 4: Simplify right side
    368.98x = 163,043.03
  5. Step 5: Solve for x
    x = 163,043.03/368.98
  6. Step 6: Final answer
    x = 441.87

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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.