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Finding the Fourth Proportional to 367.55, 547.48 and 366.86

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Solution

The fourth proportional to 367.55, 547.48 and 366.86 is: 546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.55 : 547.48 = 366.86 : x
  2. Step 2: Convert to fraction form
    367.55/547.48 = 366.86/x
  3. Step 3: Cross multiply
    367.55x = 547.48 × 366.86
  4. Step 4: Simplify right side
    367.55x = 200,848.51
  5. Step 5: Solve for x
    x = 200,848.51/367.55
  6. Step 6: Final answer
    x = 546.45

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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.