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Finding the Fourth Proportional to 193.42, 289.10 and 152.89

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Solution

The fourth proportional to 193.42, 289.10 and 152.89 is: 228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.42 : 289.10 = 152.89 : x
  2. Step 2: Convert to fraction form
    193.42/289.10 = 152.89/x
  3. Step 3: Cross multiply
    193.42x = 289.10 × 152.89
  4. Step 4: Simplify right side
    193.42x = 44,200.50
  5. Step 5: Solve for x
    x = 44,200.50/193.42
  6. Step 6: Final answer
    x = 228.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.