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Finding the Fourth Proportional to 380.45, 527.23 and 373.16

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Solution

The fourth proportional to 380.45, 527.23 and 373.16 is: 517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.45 : 527.23 = 373.16 : x
  2. Step 2: Convert to fraction form
    380.45/527.23 = 373.16/x
  3. Step 3: Cross multiply
    380.45x = 527.23 × 373.16
  4. Step 4: Simplify right side
    380.45x = 196,741.15
  5. Step 5: Solve for x
    x = 196,741.15/380.45
  6. Step 6: Final answer
    x = 517.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.