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Finding the Fourth Proportional to 103.07, 155.20 and 74.38

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Solution

The fourth proportional to 103.07, 155.20 and 74.38 is: 112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.07 : 155.20 = 74.38 : x
  2. Step 2: Convert to fraction form
    103.07/155.20 = 74.38/x
  3. Step 3: Cross multiply
    103.07x = 155.20 × 74.38
  4. Step 4: Simplify right side
    103.07x = 11,543.41
  5. Step 5: Solve for x
    x = 11,543.41/103.07
  6. Step 6: Final answer
    x = 112.00

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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.