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Finding the Fourth Proportional to 373.70, 523.90 and 373.70

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Solution

The fourth proportional to 373.70, 523.90 and 373.70 is: 523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.70 : 523.90 = 373.70 : x
  2. Step 2: Convert to fraction form
    373.70/523.90 = 373.70/x
  3. Step 3: Cross multiply
    373.70x = 523.90 × 373.70
  4. Step 4: Simplify right side
    373.70x = 195,781.43
  5. Step 5: Solve for x
    x = 195,781.43/373.70
  6. Step 6: Final answer
    x = 523.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.