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Finding the Fourth Proportional to 286.95, 431.21 and 171.45

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Solution

The fourth proportional to 286.95, 431.21 and 171.45 is: 257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.95 : 431.21 = 171.45 : x
  2. Step 2: Convert to fraction form
    286.95/431.21 = 171.45/x
  3. Step 3: Cross multiply
    286.95x = 431.21 × 171.45
  4. Step 4: Simplify right side
    286.95x = 73,931.38
  5. Step 5: Solve for x
    x = 73,931.38/286.95
  6. Step 6: Final answer
    x = 257.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.