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Finding the Fourth Proportional to 369.19, 509.51 and 213.94

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Solution

The fourth proportional to 369.19, 509.51 and 213.94 is: 295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.19 : 509.51 = 213.94 : x
  2. Step 2: Convert to fraction form
    369.19/509.51 = 213.94/x
  3. Step 3: Cross multiply
    369.19x = 509.51 × 213.94
  4. Step 4: Simplify right side
    369.19x = 109,002.23
  5. Step 5: Solve for x
    x = 109,002.23/369.19
  6. Step 6: Final answer
    x = 295.25

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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.