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Finding the Fourth Proportional to 132.86, 200.30 and 123.58

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Solution

The fourth proportional to 132.86, 200.30 and 123.58 is: 186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.86 : 200.30 = 123.58 : x
  2. Step 2: Convert to fraction form
    132.86/200.30 = 123.58/x
  3. Step 3: Cross multiply
    132.86x = 200.30 × 123.58
  4. Step 4: Simplify right side
    132.86x = 24,753.07
  5. Step 5: Solve for x
    x = 24,753.07/132.86
  6. Step 6: Final answer
    x = 186.31

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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.