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Finding the Fourth Proportional to 284.26, 425.40 and 174.64

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Solution

The fourth proportional to 284.26, 425.40 and 174.64 is: 261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.26 : 425.40 = 174.64 : x
  2. Step 2: Convert to fraction form
    284.26/425.40 = 174.64/x
  3. Step 3: Cross multiply
    284.26x = 425.40 × 174.64
  4. Step 4: Simplify right side
    284.26x = 74,291.86
  5. Step 5: Solve for x
    x = 74,291.86/284.26
  6. Step 6: Final answer
    x = 261.35

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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.