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Finding the Fourth Proportional to 193.42, 289.80 and 102.10

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Solution

The fourth proportional to 193.42, 289.80 and 102.10 is: 152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.42 : 289.80 = 102.10 : x
  2. Step 2: Convert to fraction form
    193.42/289.80 = 102.10/x
  3. Step 3: Cross multiply
    193.42x = 289.80 × 102.10
  4. Step 4: Simplify right side
    193.42x = 29,588.58
  5. Step 5: Solve for x
    x = 29,588.58/193.42
  6. Step 6: Final answer
    x = 152.98

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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.