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Finding the Fourth Proportional to 507.20, 700.26 and 367.78

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Solution

The fourth proportional to 507.20, 700.26 and 367.78 is: 507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.20 : 700.26 = 367.78 : x
  2. Step 2: Convert to fraction form
    507.20/700.26 = 367.78/x
  3. Step 3: Cross multiply
    507.20x = 700.26 × 367.78
  4. Step 4: Simplify right side
    507.20x = 257,541.62
  5. Step 5: Solve for x
    x = 257,541.62/507.20
  6. Step 6: Final answer
    x = 507.77

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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.