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Finding the Fourth Proportional to 114.95, 159.04 and 97.41

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Solution

The fourth proportional to 114.95, 159.04 and 97.41 is: 134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.95 : 159.04 = 97.41 : x
  2. Step 2: Convert to fraction form
    114.95/159.04 = 97.41/x
  3. Step 3: Cross multiply
    114.95x = 159.04 × 97.41
  4. Step 4: Simplify right side
    114.95x = 15,492.06
  5. Step 5: Solve for x
    x = 15,492.06/114.95
  6. Step 6: Final answer
    x = 134.77

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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.