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Finding the Fourth Proportional to 285.47, 425.69 and 263.03

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Solution

The fourth proportional to 285.47, 425.69 and 263.03 is: 392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.47 : 425.69 = 263.03 : x
  2. Step 2: Convert to fraction form
    285.47/425.69 = 263.03/x
  3. Step 3: Cross multiply
    285.47x = 425.69 × 263.03
  4. Step 4: Simplify right side
    285.47x = 111,969.24
  5. Step 5: Solve for x
    x = 111,969.24/285.47
  6. Step 6: Final answer
    x = 392.23

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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.