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Finding the Fourth Proportional to 259.71, 358.23 and 160.08

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Solution

The fourth proportional to 259.71, 358.23 and 160.08 is: 220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.71 : 358.23 = 160.08 : x
  2. Step 2: Convert to fraction form
    259.71/358.23 = 160.08/x
  3. Step 3: Cross multiply
    259.71x = 358.23 × 160.08
  4. Step 4: Simplify right side
    259.71x = 57,345.46
  5. Step 5: Solve for x
    x = 57,345.46/259.71
  6. Step 6: Final answer
    x = 220.81

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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.