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Finding the Fourth Proportional to 369.98, 509.16 and 286.76

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Solution

The fourth proportional to 369.98, 509.16 and 286.76 is: 394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.98 : 509.16 = 286.76 : x
  2. Step 2: Convert to fraction form
    369.98/509.16 = 286.76/x
  3. Step 3: Cross multiply
    369.98x = 509.16 × 286.76
  4. Step 4: Simplify right side
    369.98x = 146,006.72
  5. Step 5: Solve for x
    x = 146,006.72/369.98
  6. Step 6: Final answer
    x = 394.63

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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.