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Finding the Fourth Proportional to 259.48, 358.12 and 166.08

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Solution

The fourth proportional to 259.48, 358.12 and 166.08 is: 229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.48 : 358.12 = 166.08 : x
  2. Step 2: Convert to fraction form
    259.48/358.12 = 166.08/x
  3. Step 3: Cross multiply
    259.48x = 358.12 × 166.08
  4. Step 4: Simplify right side
    259.48x = 59,475.10
  5. Step 5: Solve for x
    x = 59,475.10/259.48
  6. Step 6: Final answer
    x = 229.21

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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.