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Finding the Fourth Proportional to 295.81, 444.08 and 188.05

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Solution

The fourth proportional to 295.81, 444.08 and 188.05 is: 282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.81 : 444.08 = 188.05 : x
  2. Step 2: Convert to fraction form
    295.81/444.08 = 188.05/x
  3. Step 3: Cross multiply
    295.81x = 444.08 × 188.05
  4. Step 4: Simplify right side
    295.81x = 83,509.24
  5. Step 5: Solve for x
    x = 83,509.24/295.81
  6. Step 6: Final answer
    x = 282.31

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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.