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Finding the Fourth Proportional to 381.40, 572.43 and 265.90

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Solution

The fourth proportional to 381.40, 572.43 and 265.90 is: 399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.40 : 572.43 = 265.90 : x
  2. Step 2: Convert to fraction form
    381.40/572.43 = 265.90/x
  3. Step 3: Cross multiply
    381.40x = 572.43 × 265.90
  4. Step 4: Simplify right side
    381.40x = 152,209.14
  5. Step 5: Solve for x
    x = 152,209.14/381.40
  6. Step 6: Final answer
    x = 399.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.