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Finding the Fourth Proportional to 191.04, 287.86 and 157.55

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Solution

The fourth proportional to 191.04, 287.86 and 157.55 is: 237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.04 : 287.86 = 157.55 : x
  2. Step 2: Convert to fraction form
    191.04/287.86 = 157.55/x
  3. Step 3: Cross multiply
    191.04x = 287.86 × 157.55
  4. Step 4: Simplify right side
    191.04x = 45,352.34
  5. Step 5: Solve for x
    x = 45,352.34/191.04
  6. Step 6: Final answer
    x = 237.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.