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Finding the Fourth Proportional to 507.42, 700.30 and 286.39

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Solution

The fourth proportional to 507.42, 700.30 and 286.39 is: 395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 700.30 = 286.39 : x
  2. Step 2: Convert to fraction form
    507.42/700.30 = 286.39/x
  3. Step 3: Cross multiply
    507.42x = 700.30 × 286.39
  4. Step 4: Simplify right side
    507.42x = 200,558.92
  5. Step 5: Solve for x
    x = 200,558.92/507.42
  6. Step 6: Final answer
    x = 395.25

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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.