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Finding the Fourth Proportional to 369.82, 510.42 and 220.47

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Solution

The fourth proportional to 369.82, 510.42 and 220.47 is: 304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.82 : 510.42 = 220.47 : x
  2. Step 2: Convert to fraction form
    369.82/510.42 = 220.47/x
  3. Step 3: Cross multiply
    369.82x = 510.42 × 220.47
  4. Step 4: Simplify right side
    369.82x = 112,528.64
  5. Step 5: Solve for x
    x = 112,528.64/369.82
  6. Step 6: Final answer
    x = 304.28

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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.