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Finding the Fourth Proportional to 242.55, 334.64 and 137.63

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Solution

The fourth proportional to 242.55, 334.64 and 137.63 is: 189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.55 : 334.64 = 137.63 : x
  2. Step 2: Convert to fraction form
    242.55/334.64 = 137.63/x
  3. Step 3: Cross multiply
    242.55x = 334.64 × 137.63
  4. Step 4: Simplify right side
    242.55x = 46,054.14
  5. Step 5: Solve for x
    x = 46,054.14/242.55
  6. Step 6: Final answer
    x = 189.87

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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.