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Finding the Fourth Proportional to 642.34, 886.38 and 362.59

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Solution

The fourth proportional to 642.34, 886.38 and 362.59 is: 500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.34 : 886.38 = 362.59 : x
  2. Step 2: Convert to fraction form
    642.34/886.38 = 362.59/x
  3. Step 3: Cross multiply
    642.34x = 886.38 × 362.59
  4. Step 4: Simplify right side
    642.34x = 321,388.95
  5. Step 5: Solve for x
    x = 321,388.95/642.34
  6. Step 6: Final answer
    x = 500.34

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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.