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Finding the Fourth Proportional to 105.64, 156.28 and 105.64

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Solution

The fourth proportional to 105.64, 156.28 and 105.64 is: 156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.64 : 156.28 = 105.64 : x
  2. Step 2: Convert to fraction form
    105.64/156.28 = 105.64/x
  3. Step 3: Cross multiply
    105.64x = 156.28 × 105.64
  4. Step 4: Simplify right side
    105.64x = 16,509.42
  5. Step 5: Solve for x
    x = 16,509.42/105.64
  6. Step 6: Final answer
    x = 156.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.