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Finding the Fourth Proportional to 507.35, 700.16 and 286.29

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Solution

The fourth proportional to 507.35, 700.16 and 286.29 is: 395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.35 : 700.16 = 286.29 : x
  2. Step 2: Convert to fraction form
    507.35/700.16 = 286.29/x
  3. Step 3: Cross multiply
    507.35x = 700.16 × 286.29
  4. Step 4: Simplify right side
    507.35x = 200,447.37
  5. Step 5: Solve for x
    x = 200,447.37/507.35
  6. Step 6: Final answer
    x = 395.09

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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.