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Finding the Fourth Proportional to 369.18, 548.91 and 365.52

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Solution

The fourth proportional to 369.18, 548.91 and 365.52 is: 543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.18 : 548.91 = 365.52 : x
  2. Step 2: Convert to fraction form
    369.18/548.91 = 365.52/x
  3. Step 3: Cross multiply
    369.18x = 548.91 × 365.52
  4. Step 4: Simplify right side
    369.18x = 200,637.58
  5. Step 5: Solve for x
    x = 200,637.58/369.18
  6. Step 6: Final answer
    x = 543.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.