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Finding the Fourth Proportional to 295.59, 442.57 and 213.40

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Solution

The fourth proportional to 295.59, 442.57 and 213.40 is: 319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.59 : 442.57 = 213.40 : x
  2. Step 2: Convert to fraction form
    295.59/442.57 = 213.40/x
  3. Step 3: Cross multiply
    295.59x = 442.57 × 213.40
  4. Step 4: Simplify right side
    295.59x = 94,445.54
  5. Step 5: Solve for x
    x = 94,445.54/295.59
  6. Step 6: Final answer
    x = 319.52

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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.