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Finding the Fourth Proportional to 288.90, 395.15 and 284.58

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Solution

The fourth proportional to 288.90, 395.15 and 284.58 is: 389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.90 : 395.15 = 284.58 : x
  2. Step 2: Convert to fraction form
    288.90/395.15 = 284.58/x
  3. Step 3: Cross multiply
    288.90x = 395.15 × 284.58
  4. Step 4: Simplify right side
    288.90x = 112,450.36
  5. Step 5: Solve for x
    x = 112,450.36/288.90
  6. Step 6: Final answer
    x = 389.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.