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Finding the Fourth Proportional to 425.30, 586.55 and 359.23

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Solution

The fourth proportional to 425.30, 586.55 and 359.23 is: 495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.30 : 586.55 = 359.23 : x
  2. Step 2: Convert to fraction form
    425.30/586.55 = 359.23/x
  3. Step 3: Cross multiply
    425.30x = 586.55 × 359.23
  4. Step 4: Simplify right side
    425.30x = 210,704.56
  5. Step 5: Solve for x
    x = 210,704.56/425.30
  6. Step 6: Final answer
    x = 495.43

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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.