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Finding the Fourth Proportional to 261.48, 393.63 and 201.36

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Solution

The fourth proportional to 261.48, 393.63 and 201.36 is: 303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.48 : 393.63 = 201.36 : x
  2. Step 2: Convert to fraction form
    261.48/393.63 = 201.36/x
  3. Step 3: Cross multiply
    261.48x = 393.63 × 201.36
  4. Step 4: Simplify right side
    261.48x = 79,261.34
  5. Step 5: Solve for x
    x = 79,261.34/261.48
  6. Step 6: Final answer
    x = 303.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.