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Finding the Fourth Proportional to 286.57, 432.21 and 277.34

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Solution

The fourth proportional to 286.57, 432.21 and 277.34 is: 418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.57 : 432.21 = 277.34 : x
  2. Step 2: Convert to fraction form
    286.57/432.21 = 277.34/x
  3. Step 3: Cross multiply
    286.57x = 432.21 × 277.34
  4. Step 4: Simplify right side
    286.57x = 119,866.96
  5. Step 5: Solve for x
    x = 119,866.96/286.57
  6. Step 6: Final answer
    x = 418.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.