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Finding the Fourth Proportional to 152.10, 209.96 and 103.12

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Solution

The fourth proportional to 152.10, 209.96 and 103.12 is: 142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.10 : 209.96 = 103.12 : x
  2. Step 2: Convert to fraction form
    152.10/209.96 = 103.12/x
  3. Step 3: Cross multiply
    152.10x = 209.96 × 103.12
  4. Step 4: Simplify right side
    152.10x = 21,651.08
  5. Step 5: Solve for x
    x = 21,651.08/152.10
  6. Step 6: Final answer
    x = 142.35

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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.