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Finding the Fourth Proportional to 315.25, 435.07 and 175.39

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Solution

The fourth proportional to 315.25, 435.07 and 175.39 is: 242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.25 : 435.07 = 175.39 : x
  2. Step 2: Convert to fraction form
    315.25/435.07 = 175.39/x
  3. Step 3: Cross multiply
    315.25x = 435.07 × 175.39
  4. Step 4: Simplify right side
    315.25x = 76,306.93
  5. Step 5: Solve for x
    x = 76,306.93/315.25
  6. Step 6: Final answer
    x = 242.05

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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.