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Finding the Fourth Proportional to 152.44, 210.40 and 103.24

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Solution

The fourth proportional to 152.44, 210.40 and 103.24 is: 142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.44 : 210.40 = 103.24 : x
  2. Step 2: Convert to fraction form
    152.44/210.40 = 103.24/x
  3. Step 3: Cross multiply
    152.44x = 210.40 × 103.24
  4. Step 4: Simplify right side
    152.44x = 21,721.70
  5. Step 5: Solve for x
    x = 21,721.70/152.44
  6. Step 6: Final answer
    x = 142.49

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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.