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Finding the Fourth Proportional to 130.93, 196.28 and 90.23

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Solution

The fourth proportional to 130.93, 196.28 and 90.23 is: 135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.93 : 196.28 = 90.23 : x
  2. Step 2: Convert to fraction form
    130.93/196.28 = 90.23/x
  3. Step 3: Cross multiply
    130.93x = 196.28 × 90.23
  4. Step 4: Simplify right side
    130.93x = 17,710.34
  5. Step 5: Solve for x
    x = 17,710.34/130.93
  6. Step 6: Final answer
    x = 135.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.