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Finding the Fourth Proportional to 282.90, 390.48 and 209.58

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Solution

The fourth proportional to 282.90, 390.48 and 209.58 is: 289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.90 : 390.48 = 209.58 : x
  2. Step 2: Convert to fraction form
    282.90/390.48 = 209.58/x
  3. Step 3: Cross multiply
    282.90x = 390.48 × 209.58
  4. Step 4: Simplify right side
    282.90x = 81,836.80
  5. Step 5: Solve for x
    x = 81,836.80/282.90
  6. Step 6: Final answer
    x = 289.28

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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.