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Finding the Fourth Proportional to 284.59, 427.03 and 147.75

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Solution

The fourth proportional to 284.59, 427.03 and 147.75 is: 221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.59 : 427.03 = 147.75 : x
  2. Step 2: Convert to fraction form
    284.59/427.03 = 147.75/x
  3. Step 3: Cross multiply
    284.59x = 427.03 × 147.75
  4. Step 4: Simplify right side
    284.59x = 63,091.71
  5. Step 5: Solve for x
    x = 63,091.71/284.59
  6. Step 6: Final answer
    x = 221.69

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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.