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Finding the Fourth Proportional to 109.19, 150.74 and 102.29

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Solution

The fourth proportional to 109.19, 150.74 and 102.29 is: 141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.19 : 150.74 = 102.29 : x
  2. Step 2: Convert to fraction form
    109.19/150.74 = 102.29/x
  3. Step 3: Cross multiply
    109.19x = 150.74 × 102.29
  4. Step 4: Simplify right side
    109.19x = 15,417.93
  5. Step 5: Solve for x
    x = 15,417.93/109.19
  6. Step 6: Final answer
    x = 141.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.