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Finding the Fourth Proportional to 295.18, 442.95 and 271.78

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Solution

The fourth proportional to 295.18, 442.95 and 271.78 is: 407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.18 : 442.95 = 271.78 : x
  2. Step 2: Convert to fraction form
    295.18/442.95 = 271.78/x
  3. Step 3: Cross multiply
    295.18x = 442.95 × 271.78
  4. Step 4: Simplify right side
    295.18x = 120,384.95
  5. Step 5: Solve for x
    x = 120,384.95/295.18
  6. Step 6: Final answer
    x = 407.84

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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.