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Finding the Fourth Proportional to 130.41, 196.33 and 90.10

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Solution

The fourth proportional to 130.41, 196.33 and 90.10 is: 135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.41 : 196.33 = 90.10 : x
  2. Step 2: Convert to fraction form
    130.41/196.33 = 90.10/x
  3. Step 3: Cross multiply
    130.41x = 196.33 × 90.10
  4. Step 4: Simplify right side
    130.41x = 17,689.33
  5. Step 5: Solve for x
    x = 17,689.33/130.41
  6. Step 6: Final answer
    x = 135.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.