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Finding the Fourth Proportional to 380.00, 523.70 and 296.98

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Solution

The fourth proportional to 380.00, 523.70 and 296.98 is: 409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.00 : 523.70 = 296.98 : x
  2. Step 2: Convert to fraction form
    380.00/523.70 = 296.98/x
  3. Step 3: Cross multiply
    380.00x = 523.70 × 296.98
  4. Step 4: Simplify right side
    380.00x = 155,525.63
  5. Step 5: Solve for x
    x = 155,525.63/380.00
  6. Step 6: Final answer
    x = 409.28

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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.