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Finding the Fourth Proportional to 114.20, 157.79 and 90.63

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Solution

The fourth proportional to 114.20, 157.79 and 90.63 is: 125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.20 : 157.79 = 90.63 : x
  2. Step 2: Convert to fraction form
    114.20/157.79 = 90.63/x
  3. Step 3: Cross multiply
    114.20x = 157.79 × 90.63
  4. Step 4: Simplify right side
    114.20x = 14,300.05
  5. Step 5: Solve for x
    x = 14,300.05/114.20
  6. Step 6: Final answer
    x = 125.22

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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.