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Finding the Fourth Proportional to 425.37, 585.90 and 359.76

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Solution

The fourth proportional to 425.37, 585.90 and 359.76 is: 495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.37 : 585.90 = 359.76 : x
  2. Step 2: Convert to fraction form
    425.37/585.90 = 359.76/x
  3. Step 3: Cross multiply
    425.37x = 585.90 × 359.76
  4. Step 4: Simplify right side
    425.37x = 210,783.38
  5. Step 5: Solve for x
    x = 210,783.38/425.37
  6. Step 6: Final answer
    x = 495.53

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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.