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Finding the Fourth Proportional to 282.69, 421.90 and 259.45

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Solution

The fourth proportional to 282.69, 421.90 and 259.45 is: 387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.69 : 421.90 = 259.45 : x
  2. Step 2: Convert to fraction form
    282.69/421.90 = 259.45/x
  3. Step 3: Cross multiply
    282.69x = 421.90 × 259.45
  4. Step 4: Simplify right side
    282.69x = 109,461.96
  5. Step 5: Solve for x
    x = 109,461.96/282.69
  6. Step 6: Final answer
    x = 387.22

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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.