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Finding the Fourth Proportional to 369.75, 509.55 and 310.79

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Solution

The fourth proportional to 369.75, 509.55 and 310.79 is: 428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.75 : 509.55 = 310.79 : x
  2. Step 2: Convert to fraction form
    369.75/509.55 = 310.79/x
  3. Step 3: Cross multiply
    369.75x = 509.55 × 310.79
  4. Step 4: Simplify right side
    369.75x = 158,360.50
  5. Step 5: Solve for x
    x = 158,360.50/369.75
  6. Step 6: Final answer
    x = 428.29

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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.