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Finding the Fourth Proportional to 175.53, 263.12 and 78.07

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Solution

The fourth proportional to 175.53, 263.12 and 78.07 is: 117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.53 : 263.12 = 78.07 : x
  2. Step 2: Convert to fraction form
    175.53/263.12 = 78.07/x
  3. Step 3: Cross multiply
    175.53x = 263.12 × 78.07
  4. Step 4: Simplify right side
    175.53x = 20,541.78
  5. Step 5: Solve for x
    x = 20,541.78/175.53
  6. Step 6: Final answer
    x = 117.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.