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Finding the Fourth Proportional to 465.61, 642.45 and 310.33

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Solution

The fourth proportional to 465.61, 642.45 and 310.33 is: 428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.61 : 642.45 = 310.33 : x
  2. Step 2: Convert to fraction form
    465.61/642.45 = 310.33/x
  3. Step 3: Cross multiply
    465.61x = 642.45 × 310.33
  4. Step 4: Simplify right side
    465.61x = 199,371.51
  5. Step 5: Solve for x
    x = 199,371.51/465.61
  6. Step 6: Final answer
    x = 428.19

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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.