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Finding the Fourth Proportional to 301.88, 417.04 and 208.58

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Solution

The fourth proportional to 301.88, 417.04 and 208.58 is: 288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.88 : 417.04 = 208.58 : x
  2. Step 2: Convert to fraction form
    301.88/417.04 = 208.58/x
  3. Step 3: Cross multiply
    301.88x = 417.04 × 208.58
  4. Step 4: Simplify right side
    301.88x = 86,986.20
  5. Step 5: Solve for x
    x = 86,986.20/301.88
  6. Step 6: Final answer
    x = 288.15

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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.