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Finding the Fourth Proportional to 117.30, 176.05 and 103.63

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Solution

The fourth proportional to 117.30, 176.05 and 103.63 is: 155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.30 : 176.05 = 103.63 : x
  2. Step 2: Convert to fraction form
    117.30/176.05 = 103.63/x
  3. Step 3: Cross multiply
    117.30x = 176.05 × 103.63
  4. Step 4: Simplify right side
    117.30x = 18,243.79
  5. Step 5: Solve for x
    x = 18,243.79/117.30
  6. Step 6: Final answer
    x = 155.53

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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.