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Finding the Fourth Proportional to 380.45, 524.12 and 313.62

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Solution

The fourth proportional to 380.45, 524.12 and 313.62 is: 432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.45 : 524.12 = 313.62 : x
  2. Step 2: Convert to fraction form
    380.45/524.12 = 313.62/x
  3. Step 3: Cross multiply
    380.45x = 524.12 × 313.62
  4. Step 4: Simplify right side
    380.45x = 164,372.95
  5. Step 5: Solve for x
    x = 164,372.95/380.45
  6. Step 6: Final answer
    x = 432.05

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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.