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Finding the Fourth Proportional to 130.53, 196.53 and 90.23

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Solution

The fourth proportional to 130.53, 196.53 and 90.23 is: 135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.53 : 196.53 = 90.23 : x
  2. Step 2: Convert to fraction form
    130.53/196.53 = 90.23/x
  3. Step 3: Cross multiply
    130.53x = 196.53 × 90.23
  4. Step 4: Simplify right side
    130.53x = 17,731.58
  5. Step 5: Solve for x
    x = 17,731.58/130.53
  6. Step 6: Final answer
    x = 135.84

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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.