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Finding the Fourth Proportional to 242.68, 334.89 and 169

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Solution

The fourth proportional to 242.68, 334.89 and 169 is: 233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.68 : 334.89 = 169 : x
  2. Step 2: Convert to fraction form
    242.68/334.89 = 169/x
  3. Step 3: Cross multiply
    242.68x = 334.89 × 169
  4. Step 4: Simplify right side
    242.68x = 56,596.41
  5. Step 5: Solve for x
    x = 56,596.41/242.68
  6. Step 6: Final answer
    x = 233.21

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Why These Related Problems?

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