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Finding the Fourth Proportional to 362.55, 541.22 and 307.86

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Solution

The fourth proportional to 362.55, 541.22 and 307.86 is: 459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.55 : 541.22 = 307.86 : x
  2. Step 2: Convert to fraction form
    362.55/541.22 = 307.86/x
  3. Step 3: Cross multiply
    362.55x = 541.22 × 307.86
  4. Step 4: Simplify right side
    362.55x = 166,618.45
  5. Step 5: Solve for x
    x = 166,618.45/362.55
  6. Step 6: Final answer
    x = 459.57

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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.