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Finding the Fourth Proportional to 286.01, 429.81 and 170.47

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Solution

The fourth proportional to 286.01, 429.81 and 170.47 is: 256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.01 : 429.81 = 170.47 : x
  2. Step 2: Convert to fraction form
    286.01/429.81 = 170.47/x
  3. Step 3: Cross multiply
    286.01x = 429.81 × 170.47
  4. Step 4: Simplify right side
    286.01x = 73,269.71
  5. Step 5: Solve for x
    x = 73,269.71/286.01
  6. Step 6: Final answer
    x = 256.18

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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.