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Finding the Fourth Proportional to 465.95, 643.11 and 364.81

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Solution

The fourth proportional to 465.95, 643.11 and 364.81 is: 503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.95 : 643.11 = 364.81 : x
  2. Step 2: Convert to fraction form
    465.95/643.11 = 364.81/x
  3. Step 3: Cross multiply
    465.95x = 643.11 × 364.81
  4. Step 4: Simplify right side
    465.95x = 234,609.74
  5. Step 5: Solve for x
    x = 234,609.74/465.95
  6. Step 6: Final answer
    x = 503.51

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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.