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Finding the Fourth Proportional to 476.78, 657.88 and 266.97

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Solution

The fourth proportional to 476.78, 657.88 and 266.97 is: 368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.78 : 657.88 = 266.97 : x
  2. Step 2: Convert to fraction form
    476.78/657.88 = 266.97/x
  3. Step 3: Cross multiply
    476.78x = 657.88 × 266.97
  4. Step 4: Simplify right side
    476.78x = 175,630.93
  5. Step 5: Solve for x
    x = 175,630.93/476.78
  6. Step 6: Final answer
    x = 368.37

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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.