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Finding the Fourth Proportional to 285.21, 425.52 and 259.23

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Solution

The fourth proportional to 285.21, 425.52 and 259.23 is: 386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.21 : 425.52 = 259.23 : x
  2. Step 2: Convert to fraction form
    285.21/425.52 = 259.23/x
  3. Step 3: Cross multiply
    285.21x = 425.52 × 259.23
  4. Step 4: Simplify right side
    285.21x = 110,307.55
  5. Step 5: Solve for x
    x = 110,307.55/285.21
  6. Step 6: Final answer
    x = 386.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.