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Finding the Fourth Proportional to 259.97, 358.82 and 177.11

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Solution

The fourth proportional to 259.97, 358.82 and 177.11 is: 244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.97 : 358.82 = 177.11 : x
  2. Step 2: Convert to fraction form
    259.97/358.82 = 177.11/x
  3. Step 3: Cross multiply
    259.97x = 358.82 × 177.11
  4. Step 4: Simplify right side
    259.97x = 63,547.93
  5. Step 5: Solve for x
    x = 63,547.93/259.97
  6. Step 6: Final answer
    x = 244.45

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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.