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Finding the Fourth Proportional to 114.08, 157.21 and 84.51

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Solution

The fourth proportional to 114.08, 157.21 and 84.51 is: 116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.08 : 157.21 = 84.51 : x
  2. Step 2: Convert to fraction form
    114.08/157.21 = 84.51/x
  3. Step 3: Cross multiply
    114.08x = 157.21 × 84.51
  4. Step 4: Simplify right side
    114.08x = 13,285.61
  5. Step 5: Solve for x
    x = 13,285.61/114.08
  6. Step 6: Final answer
    x = 116.46

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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.