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Finding the Fourth Proportional to 307, 424 and 208.58

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Solution

The fourth proportional to 307, 424 and 208.58 is: 288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307 : 424 = 208.58 : x
  2. Step 2: Convert to fraction form
    307/424 = 208.58/x
  3. Step 3: Cross multiply
    307x = 424 × 208.58
  4. Step 4: Simplify right side
    307x = 88,437.92
  5. Step 5: Solve for x
    x = 88,437.92/307
  6. Step 6: Final answer
    x = 288.07

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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.