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Finding the Fourth Proportional to 602.28, 903.57 and 191.42

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Solution

The fourth proportional to 602.28, 903.57 and 191.42 is: 287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.28 : 903.57 = 191.42 : x
  2. Step 2: Convert to fraction form
    602.28/903.57 = 191.42/x
  3. Step 3: Cross multiply
    602.28x = 903.57 × 191.42
  4. Step 4: Simplify right side
    602.28x = 172,956.85
  5. Step 5: Solve for x
    x = 172,956.85/602.28
  6. Step 6: Final answer
    x = 287.17

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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.