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Finding the Fourth Proportional to 315.72, 435.66 and 175.80

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Solution

The fourth proportional to 315.72, 435.66 and 175.80 is: 242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.72 : 435.66 = 175.80 : x
  2. Step 2: Convert to fraction form
    315.72/435.66 = 175.80/x
  3. Step 3: Cross multiply
    315.72x = 435.66 × 175.80
  4. Step 4: Simplify right side
    315.72x = 76,589.03
  5. Step 5: Solve for x
    x = 76,589.03/315.72
  6. Step 6: Final answer
    x = 242.59

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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.