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Finding the Fourth Proportional to 259.17, 357.84 and 176.35

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Solution

The fourth proportional to 259.17, 357.84 and 176.35 is: 243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.17 : 357.84 = 176.35 : x
  2. Step 2: Convert to fraction form
    259.17/357.84 = 176.35/x
  3. Step 3: Cross multiply
    259.17x = 357.84 × 176.35
  4. Step 4: Simplify right side
    259.17x = 63,105.08
  5. Step 5: Solve for x
    x = 63,105.08/259.17
  6. Step 6: Final answer
    x = 243.49

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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.