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Finding the Fourth Proportional to 295.52, 442.56 and 208.64

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Solution

The fourth proportional to 295.52, 442.56 and 208.64 is: 312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.52 : 442.56 = 208.64 : x
  2. Step 2: Convert to fraction form
    295.52/442.56 = 208.64/x
  3. Step 3: Cross multiply
    295.52x = 442.56 × 208.64
  4. Step 4: Simplify right side
    295.52x = 92,335.72
  5. Step 5: Solve for x
    x = 92,335.72/295.52
  6. Step 6: Final answer
    x = 312.45

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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.