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Finding the Fourth Proportional to 260.03, 358.62 and 166.77

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Solution

The fourth proportional to 260.03, 358.62 and 166.77 is: 230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.03 : 358.62 = 166.77 : x
  2. Step 2: Convert to fraction form
    260.03/358.62 = 166.77/x
  3. Step 3: Cross multiply
    260.03x = 358.62 × 166.77
  4. Step 4: Simplify right side
    260.03x = 59,807.06
  5. Step 5: Solve for x
    x = 59,807.06/260.03
  6. Step 6: Final answer
    x = 230.01

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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.