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Finding the Fourth Proportional to 387.62, 535.13 and 277.26

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Solution

The fourth proportional to 387.62, 535.13 and 277.26 is: 382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.62 : 535.13 = 277.26 : x
  2. Step 2: Convert to fraction form
    387.62/535.13 = 277.26/x
  3. Step 3: Cross multiply
    387.62x = 535.13 × 277.26
  4. Step 4: Simplify right side
    387.62x = 148,370.14
  5. Step 5: Solve for x
    x = 148,370.14/387.62
  6. Step 6: Final answer
    x = 382.77

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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.