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Finding the Fourth Proportional to 106.46, 158.64 and 101.60

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Solution

The fourth proportional to 106.46, 158.64 and 101.60 is: 151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.46 : 158.64 = 101.60 : x
  2. Step 2: Convert to fraction form
    106.46/158.64 = 101.60/x
  3. Step 3: Cross multiply
    106.46x = 158.64 × 101.60
  4. Step 4: Simplify right side
    106.46x = 16,117.82
  5. Step 5: Solve for x
    x = 16,117.82/106.46
  6. Step 6: Final answer
    x = 151.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.