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Finding the Fourth Proportional to 264.08, 393.10 and 260.19

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Solution

The fourth proportional to 264.08, 393.10 and 260.19 is: 387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.08 : 393.10 = 260.19 : x
  2. Step 2: Convert to fraction form
    264.08/393.10 = 260.19/x
  3. Step 3: Cross multiply
    264.08x = 393.10 × 260.19
  4. Step 4: Simplify right side
    264.08x = 102,280.69
  5. Step 5: Solve for x
    x = 102,280.69/264.08
  6. Step 6: Final answer
    x = 387.31

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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.