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Finding the Fourth Proportional to 284.71, 426.93 and 162.76

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Solution

The fourth proportional to 284.71, 426.93 and 162.76 is: 244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.71 : 426.93 = 162.76 : x
  2. Step 2: Convert to fraction form
    284.71/426.93 = 162.76/x
  3. Step 3: Cross multiply
    284.71x = 426.93 × 162.76
  4. Step 4: Simplify right side
    284.71x = 69,487.13
  5. Step 5: Solve for x
    x = 69,487.13/284.71
  6. Step 6: Final answer
    x = 244.06

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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.