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Finding the Fourth Proportional to 259.17, 357.44 and 176.12

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Solution

The fourth proportional to 259.17, 357.44 and 176.12 is: 242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.17 : 357.44 = 176.12 : x
  2. Step 2: Convert to fraction form
    259.17/357.44 = 176.12/x
  3. Step 3: Cross multiply
    259.17x = 357.44 × 176.12
  4. Step 4: Simplify right side
    259.17x = 62,949.67
  5. Step 5: Solve for x
    x = 62,949.67/259.17
  6. Step 6: Final answer
    x = 242.89

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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.