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Finding the Fourth Proportional to 117.90, 176.83 and 32.40

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Solution

The fourth proportional to 117.90, 176.83 and 32.40 is: 48.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.90 : 176.83 = 32.40 : x
  2. Step 2: Convert to fraction form
    117.90/176.83 = 32.40/x
  3. Step 3: Cross multiply
    117.90x = 176.83 × 32.40
  4. Step 4: Simplify right side
    117.90x = 5,729.29
  5. Step 5: Solve for x
    x = 5,729.29/117.90
  6. Step 6: Final answer
    x = 48.59

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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.