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Finding the Fourth Proportional to 465.85, 642.74 and 288.95

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Solution

The fourth proportional to 465.85, 642.74 and 288.95 is: 398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.85 : 642.74 = 288.95 : x
  2. Step 2: Convert to fraction form
    465.85/642.74 = 288.95/x
  3. Step 3: Cross multiply
    465.85x = 642.74 × 288.95
  4. Step 4: Simplify right side
    465.85x = 185,716.51
  5. Step 5: Solve for x
    x = 185,716.51/465.85
  6. Step 6: Final answer
    x = 398.66

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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.