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Finding the Fourth Proportional to 165.42, 246.78 and 159.30

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Solution

The fourth proportional to 165.42, 246.78 and 159.30 is: 237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 246.78 = 159.30 : x
  2. Step 2: Convert to fraction form
    165.42/246.78 = 159.30/x
  3. Step 3: Cross multiply
    165.42x = 246.78 × 159.30
  4. Step 4: Simplify right side
    165.42x = 39,312.05
  5. Step 5: Solve for x
    x = 39,312.05/165.42
  6. Step 6: Final answer
    x = 237.65

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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.