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Finding the Fourth Proportional to 165.03, 245.80 and 156.36

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Solution

The fourth proportional to 165.03, 245.80 and 156.36 is: 232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.03 : 245.80 = 156.36 : x
  2. Step 2: Convert to fraction form
    165.03/245.80 = 156.36/x
  3. Step 3: Cross multiply
    165.03x = 245.80 × 156.36
  4. Step 4: Simplify right side
    165.03x = 38,433.06
  5. Step 5: Solve for x
    x = 38,433.06/165.03
  6. Step 6: Final answer
    x = 232.88

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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.