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Finding the Fourth Proportional to 465.27, 642.35 and 290.85

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Solution

The fourth proportional to 465.27, 642.35 and 290.85 is: 401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.27 : 642.35 = 290.85 : x
  2. Step 2: Convert to fraction form
    465.27/642.35 = 290.85/x
  3. Step 3: Cross multiply
    465.27x = 642.35 × 290.85
  4. Step 4: Simplify right side
    465.27x = 186,827.50
  5. Step 5: Solve for x
    x = 186,827.50/465.27
  6. Step 6: Final answer
    x = 401.55

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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.