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Finding the Fourth Proportional to 425.09, 586.40 and 259.26

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Solution

The fourth proportional to 425.09, 586.40 and 259.26 is: 357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.09 : 586.40 = 259.26 : x
  2. Step 2: Convert to fraction form
    425.09/586.40 = 259.26/x
  3. Step 3: Cross multiply
    425.09x = 586.40 × 259.26
  4. Step 4: Simplify right side
    425.09x = 152,028.77
  5. Step 5: Solve for x
    x = 152,028.77/425.09
  6. Step 6: Final answer
    x = 357.64

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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.