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Finding the Fourth Proportional to 387.72, 535.76 and 277.01

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Solution

The fourth proportional to 387.72, 535.76 and 277.01 is: 382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.72 : 535.76 = 277.01 : x
  2. Step 2: Convert to fraction form
    387.72/535.76 = 277.01/x
  3. Step 3: Cross multiply
    387.72x = 535.76 × 277.01
  4. Step 4: Simplify right side
    387.72x = 148,410.88
  5. Step 5: Solve for x
    x = 148,410.88/387.72
  6. Step 6: Final answer
    x = 382.78

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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.