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Finding the Fourth Proportional to 32, 43.86 and 30.40

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Solution

The fourth proportional to 32, 43.86 and 30.40 is: 41.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32 : 43.86 = 30.40 : x
  2. Step 2: Convert to fraction form
    32/43.86 = 30.40/x
  3. Step 3: Cross multiply
    32x = 43.86 × 30.40
  4. Step 4: Simplify right side
    32x = 1,333.34
  5. Step 5: Solve for x
    x = 1,333.34/32
  6. Step 6: Final answer
    x = 41.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.