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Finding the Fourth Proportional to 194.04, 291.01 and 101.47

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Solution

The fourth proportional to 194.04, 291.01 and 101.47 is: 152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.04 : 291.01 = 101.47 : x
  2. Step 2: Convert to fraction form
    194.04/291.01 = 101.47/x
  3. Step 3: Cross multiply
    194.04x = 291.01 × 101.47
  4. Step 4: Simplify right side
    194.04x = 29,528.78
  5. Step 5: Solve for x
    x = 29,528.78/194.04
  6. Step 6: Final answer
    x = 152.18

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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.