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Finding the Fourth Proportional to 210.79, 289.31 and 186.95

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Solution

The fourth proportional to 210.79, 289.31 and 186.95 is: 256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.79 : 289.31 = 186.95 : x
  2. Step 2: Convert to fraction form
    210.79/289.31 = 186.95/x
  3. Step 3: Cross multiply
    210.79x = 289.31 × 186.95
  4. Step 4: Simplify right side
    210.79x = 54,085.53
  5. Step 5: Solve for x
    x = 54,085.53/210.79
  6. Step 6: Final answer
    x = 256.59

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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.