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Finding the Fourth Proportional to 231.12, 345.36 and 158.40

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Solution

The fourth proportional to 231.12, 345.36 and 158.40 is: 236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.12 : 345.36 = 158.40 : x
  2. Step 2: Convert to fraction form
    231.12/345.36 = 158.40/x
  3. Step 3: Cross multiply
    231.12x = 345.36 × 158.40
  4. Step 4: Simplify right side
    231.12x = 54,705.02
  5. Step 5: Solve for x
    x = 54,705.02/231.12
  6. Step 6: Final answer
    x = 236.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.