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Finding the Fourth Proportional to 381.93, 520.40 and 373.50

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Solution

The fourth proportional to 381.93, 520.40 and 373.50 is: 508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.93 : 520.40 = 373.50 : x
  2. Step 2: Convert to fraction form
    381.93/520.40 = 373.50/x
  3. Step 3: Cross multiply
    381.93x = 520.40 × 373.50
  4. Step 4: Simplify right side
    381.93x = 194,369.40
  5. Step 5: Solve for x
    x = 194,369.40/381.93
  6. Step 6: Final answer
    x = 508.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.