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Finding the Fourth Proportional to 446.49, 666.59 and 381.51

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Solution

The fourth proportional to 446.49, 666.59 and 381.51 is: 569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.49 : 666.59 = 381.51 : x
  2. Step 2: Convert to fraction form
    446.49/666.59 = 381.51/x
  3. Step 3: Cross multiply
    446.49x = 666.59 × 381.51
  4. Step 4: Simplify right side
    446.49x = 254,308.84
  5. Step 5: Solve for x
    x = 254,308.84/446.49
  6. Step 6: Final answer
    x = 569.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.