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Finding the Fourth Proportional to 193.30, 290.04 and 90.64

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Solution

The fourth proportional to 193.30, 290.04 and 90.64 is: 136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.30 : 290.04 = 90.64 : x
  2. Step 2: Convert to fraction form
    193.30/290.04 = 90.64/x
  3. Step 3: Cross multiply
    193.30x = 290.04 × 90.64
  4. Step 4: Simplify right side
    193.30x = 26,289.23
  5. Step 5: Solve for x
    x = 26,289.23/193.30
  6. Step 6: Final answer
    x = 136.00

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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.