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Finding the Fourth Proportional to 282.88, 421.47 and 264.25

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Solution

The fourth proportional to 282.88, 421.47 and 264.25 is: 393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.88 : 421.47 = 264.25 : x
  2. Step 2: Convert to fraction form
    282.88/421.47 = 264.25/x
  3. Step 3: Cross multiply
    282.88x = 421.47 × 264.25
  4. Step 4: Simplify right side
    282.88x = 111,373.45
  5. Step 5: Solve for x
    x = 111,373.45/282.88
  6. Step 6: Final answer
    x = 393.71

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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.