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Finding the Fourth Proportional to 106.47, 159.71 and 76.30

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Solution

The fourth proportional to 106.47, 159.71 and 76.30 is: 114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.47 : 159.71 = 76.30 : x
  2. Step 2: Convert to fraction form
    106.47/159.71 = 76.30/x
  3. Step 3: Cross multiply
    106.47x = 159.71 × 76.30
  4. Step 4: Simplify right side
    106.47x = 12,185.09
  5. Step 5: Solve for x
    x = 12,185.09/106.47
  6. Step 6: Final answer
    x = 114.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.