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Finding the Fourth Proportional to 103.12, 155.40 and 97.04

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Solution

The fourth proportional to 103.12, 155.40 and 97.04 is: 146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.12 : 155.40 = 97.04 : x
  2. Step 2: Convert to fraction form
    103.12/155.40 = 97.04/x
  3. Step 3: Cross multiply
    103.12x = 155.40 × 97.04
  4. Step 4: Simplify right side
    103.12x = 15,080.02
  5. Step 5: Solve for x
    x = 15,080.02/103.12
  6. Step 6: Final answer
    x = 146.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.