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Finding the Fourth Proportional to 191.12, 263.58 and 152.24

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Solution

The fourth proportional to 191.12, 263.58 and 152.24 is: 209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.12 : 263.58 = 152.24 : x
  2. Step 2: Convert to fraction form
    191.12/263.58 = 152.24/x
  3. Step 3: Cross multiply
    191.12x = 263.58 × 152.24
  4. Step 4: Simplify right side
    191.12x = 40,127.42
  5. Step 5: Solve for x
    x = 40,127.42/191.12
  6. Step 6: Final answer
    x = 209.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.