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Finding the Fourth Proportional to 446.87, 670.32 and 138.93

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Solution

The fourth proportional to 446.87, 670.32 and 138.93 is: 208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.87 : 670.32 = 138.93 : x
  2. Step 2: Convert to fraction form
    446.87/670.32 = 138.93/x
  3. Step 3: Cross multiply
    446.87x = 670.32 × 138.93
  4. Step 4: Simplify right side
    446.87x = 93,127.56
  5. Step 5: Solve for x
    x = 93,127.56/446.87
  6. Step 6: Final answer
    x = 208.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.