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Finding the Fourth Proportional to 295.54, 442.14 and 260.91

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Solution

The fourth proportional to 295.54, 442.14 and 260.91 is: 390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.54 : 442.14 = 260.91 : x
  2. Step 2: Convert to fraction form
    295.54/442.14 = 260.91/x
  3. Step 3: Cross multiply
    295.54x = 442.14 × 260.91
  4. Step 4: Simplify right side
    295.54x = 115,358.75
  5. Step 5: Solve for x
    x = 115,358.75/295.54
  6. Step 6: Final answer
    x = 390.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.