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Finding the Fourth Proportional to 208.59, 314.30 and 175.02

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Solution

The fourth proportional to 208.59, 314.30 and 175.02 is: 263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.59 : 314.30 = 175.02 : x
  2. Step 2: Convert to fraction form
    208.59/314.30 = 175.02/x
  3. Step 3: Cross multiply
    208.59x = 314.30 × 175.02
  4. Step 4: Simplify right side
    208.59x = 55,007.91
  5. Step 5: Solve for x
    x = 55,007.91/208.59
  6. Step 6: Final answer
    x = 263.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.