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Finding the Fourth Proportional to 242.51, 334.64 and 144.25

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Solution

The fourth proportional to 242.51, 334.64 and 144.25 is: 199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.51 : 334.64 = 144.25 : x
  2. Step 2: Convert to fraction form
    242.51/334.64 = 144.25/x
  3. Step 3: Cross multiply
    242.51x = 334.64 × 144.25
  4. Step 4: Simplify right side
    242.51x = 48,270.51
  5. Step 5: Solve for x
    x = 48,270.51/242.51
  6. Step 6: Final answer
    x = 199.05

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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.