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Finding the Fourth Proportional to 642.34, 886.40 and 362.60

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Solution

The fourth proportional to 642.34, 886.40 and 362.60 is: 500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.34 : 886.40 = 362.60 : x
  2. Step 2: Convert to fraction form
    642.34/886.40 = 362.60/x
  3. Step 3: Cross multiply
    642.34x = 886.40 × 362.60
  4. Step 4: Simplify right side
    642.34x = 321,408.64
  5. Step 5: Solve for x
    x = 321,408.64/642.34
  6. Step 6: Final answer
    x = 500.37

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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.