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Finding the Fourth Proportional to 114.56, 158 and 98.40

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Solution

The fourth proportional to 114.56, 158 and 98.40 is: 135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.56 : 158 = 98.40 : x
  2. Step 2: Convert to fraction form
    114.56/158 = 98.40/x
  3. Step 3: Cross multiply
    114.56x = 158 × 98.40
  4. Step 4: Simplify right side
    114.56x = 15,547.20
  5. Step 5: Solve for x
    x = 15,547.20/114.56
  6. Step 6: Final answer
    x = 135.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.