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Finding the Fourth Proportional to 261.45, 390.43 and 246.27

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Solution

The fourth proportional to 261.45, 390.43 and 246.27 is: 367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.45 : 390.43 = 246.27 : x
  2. Step 2: Convert to fraction form
    261.45/390.43 = 246.27/x
  3. Step 3: Cross multiply
    261.45x = 390.43 × 246.27
  4. Step 4: Simplify right side
    261.45x = 96,149.86
  5. Step 5: Solve for x
    x = 96,149.86/261.45
  6. Step 6: Final answer
    x = 367.75

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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.