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Finding the Fourth Proportional to 159, 238.58 and 56.34

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Solution

The fourth proportional to 159, 238.58 and 56.34 is: 84.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 238.58 = 56.34 : x
  2. Step 2: Convert to fraction form
    159/238.58 = 56.34/x
  3. Step 3: Cross multiply
    159x = 238.58 × 56.34
  4. Step 4: Simplify right side
    159x = 13,441.60
  5. Step 5: Solve for x
    x = 13,441.60/159
  6. Step 6: Final answer
    x = 84.54

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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.