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Finding the Fourth Proportional to 380.82, 524.63 and 314.00

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Solution

The fourth proportional to 380.82, 524.63 and 314.00 is: 432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.82 : 524.63 = 314.00 : x
  2. Step 2: Convert to fraction form
    380.82/524.63 = 314.00/x
  3. Step 3: Cross multiply
    380.82x = 524.63 × 314.00
  4. Step 4: Simplify right side
    380.82x = 164,731.98
  5. Step 5: Solve for x
    x = 164,731.98/380.82
  6. Step 6: Final answer
    x = 432.57

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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.