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Finding the Fourth Proportional to 174.28, 260.32 and 145.20

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Solution

The fourth proportional to 174.28, 260.32 and 145.20 is: 216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.28 : 260.32 = 145.20 : x
  2. Step 2: Convert to fraction form
    174.28/260.32 = 145.20/x
  3. Step 3: Cross multiply
    174.28x = 260.32 × 145.20
  4. Step 4: Simplify right side
    174.28x = 37,798.46
  5. Step 5: Solve for x
    x = 37,798.46/174.28
  6. Step 6: Final answer
    x = 216.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.