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Finding the Fourth Proportional to 142.45, 196.55 and 90

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Solution

The fourth proportional to 142.45, 196.55 and 90 is: 124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.45 : 196.55 = 90 : x
  2. Step 2: Convert to fraction form
    142.45/196.55 = 90/x
  3. Step 3: Cross multiply
    142.45x = 196.55 × 90
  4. Step 4: Simplify right side
    142.45x = 17,689.50
  5. Step 5: Solve for x
    x = 17,689.50/142.45
  6. Step 6: Final answer
    x = 124.18

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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.