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Finding the Fourth Proportional to 295.00, 442.33 and 140.69

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Solution

The fourth proportional to 295.00, 442.33 and 140.69 is: 210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.00 : 442.33 = 140.69 : x
  2. Step 2: Convert to fraction form
    295.00/442.33 = 140.69/x
  3. Step 3: Cross multiply
    295.00x = 442.33 × 140.69
  4. Step 4: Simplify right side
    295.00x = 62,232.16
  5. Step 5: Solve for x
    x = 62,232.16/295.00
  6. Step 6: Final answer
    x = 210.96

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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.