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Finding the Fourth Proportional to 195.60, 292.16 and 159.14

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Solution

The fourth proportional to 195.60, 292.16 and 159.14 is: 237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.60 : 292.16 = 159.14 : x
  2. Step 2: Convert to fraction form
    195.60/292.16 = 159.14/x
  3. Step 3: Cross multiply
    195.60x = 292.16 × 159.14
  4. Step 4: Simplify right side
    195.60x = 46,494.34
  5. Step 5: Solve for x
    x = 46,494.34/195.60
  6. Step 6: Final answer
    x = 237.70

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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.