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Finding the Fourth Proportional to 381.64, 530.20 and 377.89

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Solution

The fourth proportional to 381.64, 530.20 and 377.89 is: 524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.64 : 530.20 = 377.89 : x
  2. Step 2: Convert to fraction form
    381.64/530.20 = 377.89/x
  3. Step 3: Cross multiply
    381.64x = 530.20 × 377.89
  4. Step 4: Simplify right side
    381.64x = 200,355.79
  5. Step 5: Solve for x
    x = 200,355.79/381.64
  6. Step 6: Final answer
    x = 524.99

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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.