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Finding the Fourth Proportional to 117.40, 159.76 and 117.40

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Solution

The fourth proportional to 117.40, 159.76 and 117.40 is: 159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.40 : 159.76 = 117.40 : x
  2. Step 2: Convert to fraction form
    117.40/159.76 = 117.40/x
  3. Step 3: Cross multiply
    117.40x = 159.76 × 117.40
  4. Step 4: Simplify right side
    117.40x = 18,755.82
  5. Step 5: Solve for x
    x = 18,755.82/117.40
  6. Step 6: Final answer
    x = 159.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.