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Finding the Fourth Proportional to 259.66, 358.18 and 165.03

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Solution

The fourth proportional to 259.66, 358.18 and 165.03 is: 227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.66 : 358.18 = 165.03 : x
  2. Step 2: Convert to fraction form
    259.66/358.18 = 165.03/x
  3. Step 3: Cross multiply
    259.66x = 358.18 × 165.03
  4. Step 4: Simplify right side
    259.66x = 59,110.45
  5. Step 5: Solve for x
    x = 59,110.45/259.66
  6. Step 6: Final answer
    x = 227.65

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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.