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Finding the Fourth Proportional to 104.66, 157.02 and 32.51

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Solution

The fourth proportional to 104.66, 157.02 and 32.51 is: 48.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.66 : 157.02 = 32.51 : x
  2. Step 2: Convert to fraction form
    104.66/157.02 = 32.51/x
  3. Step 3: Cross multiply
    104.66x = 157.02 × 32.51
  4. Step 4: Simplify right side
    104.66x = 5,104.72
  5. Step 5: Solve for x
    x = 5,104.72/104.66
  6. Step 6: Final answer
    x = 48.77

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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.