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Finding the Fourth Proportional to 465.78, 697.93 and 246.40

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Solution

The fourth proportional to 465.78, 697.93 and 246.40 is: 369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.78 : 697.93 = 246.40 : x
  2. Step 2: Convert to fraction form
    465.78/697.93 = 246.40/x
  3. Step 3: Cross multiply
    465.78x = 697.93 × 246.40
  4. Step 4: Simplify right side
    465.78x = 171,969.95
  5. Step 5: Solve for x
    x = 171,969.95/465.78
  6. Step 6: Final answer
    x = 369.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.