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Finding the Fourth Proportional to 466.07, 642.60 and 355.34

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Solution

The fourth proportional to 466.07, 642.60 and 355.34 is: 489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.07 : 642.60 = 355.34 : x
  2. Step 2: Convert to fraction form
    466.07/642.60 = 355.34/x
  3. Step 3: Cross multiply
    466.07x = 642.60 × 355.34
  4. Step 4: Simplify right side
    466.07x = 228,338.27
  5. Step 5: Solve for x
    x = 228,338.27/466.07
  6. Step 6: Final answer
    x = 489.93

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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.