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Finding the Fourth Proportional to 304.18, 454.17 and 260.78

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Solution

The fourth proportional to 304.18, 454.17 and 260.78 is: 389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.18 : 454.17 = 260.78 : x
  2. Step 2: Convert to fraction form
    304.18/454.17 = 260.78/x
  3. Step 3: Cross multiply
    304.18x = 454.17 × 260.78
  4. Step 4: Simplify right side
    304.18x = 118,435.69
  5. Step 5: Solve for x
    x = 118,435.69/304.18
  6. Step 6: Final answer
    x = 389.36

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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.