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Finding the Fourth Proportional to 105.02, 156.78 and 97.32

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Solution

The fourth proportional to 105.02, 156.78 and 97.32 is: 145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.02 : 156.78 = 97.32 : x
  2. Step 2: Convert to fraction form
    105.02/156.78 = 97.32/x
  3. Step 3: Cross multiply
    105.02x = 156.78 × 97.32
  4. Step 4: Simplify right side
    105.02x = 15,257.83
  5. Step 5: Solve for x
    x = 15,257.83/105.02
  6. Step 6: Final answer
    x = 145.28

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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.