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Finding the Fourth Proportional to 191.02, 287.68 and 160.78

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Solution

The fourth proportional to 191.02, 287.68 and 160.78 is: 242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.02 : 287.68 = 160.78 : x
  2. Step 2: Convert to fraction form
    191.02/287.68 = 160.78/x
  3. Step 3: Cross multiply
    191.02x = 287.68 × 160.78
  4. Step 4: Simplify right side
    191.02x = 46,253.19
  5. Step 5: Solve for x
    x = 46,253.19/191.02
  6. Step 6: Final answer
    x = 242.14

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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.