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Finding the Fourth Proportional to 456.57, 629.99 and 260.05

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Solution

The fourth proportional to 456.57, 629.99 and 260.05 is: 358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 629.99 = 260.05 : x
  2. Step 2: Convert to fraction form
    456.57/629.99 = 260.05/x
  3. Step 3: Cross multiply
    456.57x = 629.99 × 260.05
  4. Step 4: Simplify right side
    456.57x = 163,826.02
  5. Step 5: Solve for x
    x = 163,826.02/456.57
  6. Step 6: Final answer
    x = 358.82

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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.