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Finding the Fourth Proportional to 101, 150.43 and 95.86

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Solution

The fourth proportional to 101, 150.43 and 95.86 is: 142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101 : 150.43 = 95.86 : x
  2. Step 2: Convert to fraction form
    101/150.43 = 95.86/x
  3. Step 3: Cross multiply
    101x = 150.43 × 95.86
  4. Step 4: Simplify right side
    101x = 14,420.22
  5. Step 5: Solve for x
    x = 14,420.22/101
  6. Step 6: Final answer
    x = 142.77

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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.