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Finding the Fourth Proportional to 283.64, 390.56 and 261.36

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Solution

The fourth proportional to 283.64, 390.56 and 261.36 is: 359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.64 : 390.56 = 261.36 : x
  2. Step 2: Convert to fraction form
    283.64/390.56 = 261.36/x
  3. Step 3: Cross multiply
    283.64x = 390.56 × 261.36
  4. Step 4: Simplify right side
    283.64x = 102,075.45
  5. Step 5: Solve for x
    x = 102,075.45/283.64
  6. Step 6: Final answer
    x = 359.88

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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.