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Finding the Fourth Proportional to 242.50, 334.92 and 164.74

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Solution

The fourth proportional to 242.50, 334.92 and 164.74 is: 227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.50 : 334.92 = 164.74 : x
  2. Step 2: Convert to fraction form
    242.50/334.92 = 164.74/x
  3. Step 3: Cross multiply
    242.50x = 334.92 × 164.74
  4. Step 4: Simplify right side
    242.50x = 55,174.72
  5. Step 5: Solve for x
    x = 55,174.72/242.50
  6. Step 6: Final answer
    x = 227.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.