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Finding the Fourth Proportional to 264.21, 393.27 and 260.31

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Solution

The fourth proportional to 264.21, 393.27 and 260.31 is: 387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.21 : 393.27 = 260.31 : x
  2. Step 2: Convert to fraction form
    264.21/393.27 = 260.31/x
  3. Step 3: Cross multiply
    264.21x = 393.27 × 260.31
  4. Step 4: Simplify right side
    264.21x = 102,372.11
  5. Step 5: Solve for x
    x = 102,372.11/264.21
  6. Step 6: Final answer
    x = 387.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.