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Finding the Fourth Proportional to 188.79, 260.61 and 123.40

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Solution

The fourth proportional to 188.79, 260.61 and 123.40 is: 170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.79 : 260.61 = 123.40 : x
  2. Step 2: Convert to fraction form
    188.79/260.61 = 123.40/x
  3. Step 3: Cross multiply
    188.79x = 260.61 × 123.40
  4. Step 4: Simplify right side
    188.79x = 32,159.27
  5. Step 5: Solve for x
    x = 32,159.27/188.79
  6. Step 6: Final answer
    x = 170.34

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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.