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Finding the Fourth Proportional to 191.30, 285.14 and 191.02

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Solution

The fourth proportional to 191.30, 285.14 and 191.02 is: 284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.30 : 285.14 = 191.02 : x
  2. Step 2: Convert to fraction form
    191.30/285.14 = 191.02/x
  3. Step 3: Cross multiply
    191.30x = 285.14 × 191.02
  4. Step 4: Simplify right side
    191.30x = 54,467.44
  5. Step 5: Solve for x
    x = 54,467.44/191.30
  6. Step 6: Final answer
    x = 284.72

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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.