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Finding the Fourth Proportional to 507.23, 699.98 and 274.36

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Solution

The fourth proportional to 507.23, 699.98 and 274.36 is: 378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.23 : 699.98 = 274.36 : x
  2. Step 2: Convert to fraction form
    507.23/699.98 = 274.36/x
  3. Step 3: Cross multiply
    507.23x = 699.98 × 274.36
  4. Step 4: Simplify right side
    507.23x = 192,047.28
  5. Step 5: Solve for x
    x = 192,047.28/507.23
  6. Step 6: Final answer
    x = 378.62

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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.