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Finding the Fourth Proportional to 114.61, 156.92 and 113.50

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Solution

The fourth proportional to 114.61, 156.92 and 113.50 is: 155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.61 : 156.92 = 113.50 : x
  2. Step 2: Convert to fraction form
    114.61/156.92 = 113.50/x
  3. Step 3: Cross multiply
    114.61x = 156.92 × 113.50
  4. Step 4: Simplify right side
    114.61x = 17,809.07
  5. Step 5: Solve for x
    x = 17,809.07/114.61
  6. Step 6: Final answer
    x = 155.39

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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.