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Finding the Fourth Proportional to 191.10, 285.36 and 152.15

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Solution

The fourth proportional to 191.10, 285.36 and 152.15 is: 227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.10 : 285.36 = 152.15 : x
  2. Step 2: Convert to fraction form
    191.10/285.36 = 152.15/x
  3. Step 3: Cross multiply
    191.10x = 285.36 × 152.15
  4. Step 4: Simplify right side
    191.10x = 43,416.10
  5. Step 5: Solve for x
    x = 43,416.10/191.10
  6. Step 6: Final answer
    x = 227.19

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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.