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Finding the Fourth Proportional to 180.04, 268.78 and 162.76

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Solution

The fourth proportional to 180.04, 268.78 and 162.76 is: 242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.04 : 268.78 = 162.76 : x
  2. Step 2: Convert to fraction form
    180.04/268.78 = 162.76/x
  3. Step 3: Cross multiply
    180.04x = 268.78 × 162.76
  4. Step 4: Simplify right side
    180.04x = 43,746.63
  5. Step 5: Solve for x
    x = 43,746.63/180.04
  6. Step 6: Final answer
    x = 242.98

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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.