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Finding the Fourth Proportional to 105.40, 156.98 and 101.62

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Solution

The fourth proportional to 105.40, 156.98 and 101.62 is: 151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.40 : 156.98 = 101.62 : x
  2. Step 2: Convert to fraction form
    105.40/156.98 = 101.62/x
  3. Step 3: Cross multiply
    105.40x = 156.98 × 101.62
  4. Step 4: Simplify right side
    105.40x = 15,952.31
  5. Step 5: Solve for x
    x = 15,952.31/105.40
  6. Step 6: Final answer
    x = 151.35

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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.