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Finding the Fourth Proportional to 242.37, 333.01 and 193.16

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Solution

The fourth proportional to 242.37, 333.01 and 193.16 is: 265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.37 : 333.01 = 193.16 : x
  2. Step 2: Convert to fraction form
    242.37/333.01 = 193.16/x
  3. Step 3: Cross multiply
    242.37x = 333.01 × 193.16
  4. Step 4: Simplify right side
    242.37x = 64,324.21
  5. Step 5: Solve for x
    x = 64,324.21/242.37
  6. Step 6: Final answer
    x = 265.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.