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Finding the Fourth Proportional to 425.30, 585.38 and 380.88

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Solution

The fourth proportional to 425.30, 585.38 and 380.88 is: 524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.30 : 585.38 = 380.88 : x
  2. Step 2: Convert to fraction form
    425.30/585.38 = 380.88/x
  3. Step 3: Cross multiply
    425.30x = 585.38 × 380.88
  4. Step 4: Simplify right side
    425.30x = 222,960.49
  5. Step 5: Solve for x
    x = 222,960.49/425.30
  6. Step 6: Final answer
    x = 524.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.