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Finding the Fourth Proportional to 114.84, 157.32 and 113.40

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Solution

The fourth proportional to 114.84, 157.32 and 113.40 is: 155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.84 : 157.32 = 113.40 : x
  2. Step 2: Convert to fraction form
    114.84/157.32 = 113.40/x
  3. Step 3: Cross multiply
    114.84x = 157.32 × 113.40
  4. Step 4: Simplify right side
    114.84x = 17,840.09
  5. Step 5: Solve for x
    x = 17,840.09/114.84
  6. Step 6: Final answer
    x = 155.35

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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.