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Finding the Fourth Proportional to 364.55, 543.02 and 363.86

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Solution

The fourth proportional to 364.55, 543.02 and 363.86 is: 541.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.55 : 543.02 = 363.86 : x
  2. Step 2: Convert to fraction form
    364.55/543.02 = 363.86/x
  3. Step 3: Cross multiply
    364.55x = 543.02 × 363.86
  4. Step 4: Simplify right side
    364.55x = 197,578.72
  5. Step 5: Solve for x
    x = 197,578.72/364.55
  6. Step 6: Final answer
    x = 541.99

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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.