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Finding the Fourth Proportional to 465.65, 643.42 and 366.86

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Solution

The fourth proportional to 465.65, 643.42 and 366.86 is: 506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.65 : 643.42 = 366.86 : x
  2. Step 2: Convert to fraction form
    465.65/643.42 = 366.86/x
  3. Step 3: Cross multiply
    465.65x = 643.42 × 366.86
  4. Step 4: Simplify right side
    465.65x = 236,040.93
  5. Step 5: Solve for x
    x = 236,040.93/465.65
  6. Step 6: Final answer
    x = 506.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.