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Finding the Fourth Proportional to 208.42, 285.68 and 208.08

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Solution

The fourth proportional to 208.42, 285.68 and 208.08 is: 285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.42 : 285.68 = 208.08 : x
  2. Step 2: Convert to fraction form
    208.42/285.68 = 208.08/x
  3. Step 3: Cross multiply
    208.42x = 285.68 × 208.08
  4. Step 4: Simplify right side
    208.42x = 59,444.29
  5. Step 5: Solve for x
    x = 59,444.29/208.42
  6. Step 6: Final answer
    x = 285.21

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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.