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Finding the Fourth Proportional to 242.51, 334.64 and 142.85

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Solution

The fourth proportional to 242.51, 334.64 and 142.85 is: 197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.51 : 334.64 = 142.85 : x
  2. Step 2: Convert to fraction form
    242.51/334.64 = 142.85/x
  3. Step 3: Cross multiply
    242.51x = 334.64 × 142.85
  4. Step 4: Simplify right side
    242.51x = 47,802.61
  5. Step 5: Solve for x
    x = 47,802.61/242.51
  6. Step 6: Final answer
    x = 197.12

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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.