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Finding the Fourth Proportional to 264.16, 393.44 and 260.95

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Solution

The fourth proportional to 264.16, 393.44 and 260.95 is: 388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.16 : 393.44 = 260.95 : x
  2. Step 2: Convert to fraction form
    264.16/393.44 = 260.95/x
  3. Step 3: Cross multiply
    264.16x = 393.44 × 260.95
  4. Step 4: Simplify right side
    264.16x = 102,668.17
  5. Step 5: Solve for x
    x = 102,668.17/264.16
  6. Step 6: Final answer
    x = 388.66

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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.