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Finding the Fourth Proportional to 103.43, 152.98 and 103.43

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Solution

The fourth proportional to 103.43, 152.98 and 103.43 is: 152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.43 : 152.98 = 103.43 : x
  2. Step 2: Convert to fraction form
    103.43/152.98 = 103.43/x
  3. Step 3: Cross multiply
    103.43x = 152.98 × 103.43
  4. Step 4: Simplify right side
    103.43x = 15,821.84
  5. Step 5: Solve for x
    x = 15,821.84/103.43
  6. Step 6: Final answer
    x = 152.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.