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Finding the Fourth Proportional to 369.82, 552.16 and 366.12

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Solution

The fourth proportional to 369.82, 552.16 and 366.12 is: 546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.82 : 552.16 = 366.12 : x
  2. Step 2: Convert to fraction form
    369.82/552.16 = 366.12/x
  3. Step 3: Cross multiply
    369.82x = 552.16 × 366.12
  4. Step 4: Simplify right side
    369.82x = 202,157.02
  5. Step 5: Solve for x
    x = 202,157.02/369.82
  6. Step 6: Final answer
    x = 546.64

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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.