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Finding the Fourth Proportional to 387.93, 535.44 and 266.97

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Solution

The fourth proportional to 387.93, 535.44 and 266.97 is: 368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.93 : 535.44 = 266.97 : x
  2. Step 2: Convert to fraction form
    387.93/535.44 = 266.97/x
  3. Step 3: Cross multiply
    387.93x = 535.44 × 266.97
  4. Step 4: Simplify right side
    387.93x = 142,946.42
  5. Step 5: Solve for x
    x = 142,946.42/387.93
  6. Step 6: Final answer
    x = 368.49

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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.