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Finding the Fourth Proportional to 465.22, 643.17 and 348.58

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Solution

The fourth proportional to 465.22, 643.17 and 348.58 is: 481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.22 : 643.17 = 348.58 : x
  2. Step 2: Convert to fraction form
    465.22/643.17 = 348.58/x
  3. Step 3: Cross multiply
    465.22x = 643.17 × 348.58
  4. Step 4: Simplify right side
    465.22x = 224,196.20
  5. Step 5: Solve for x
    x = 224,196.20/465.22
  6. Step 6: Final answer
    x = 481.91

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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.