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Finding the Fourth Proportional to 284.66, 426.54 and 207.50

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Solution

The fourth proportional to 284.66, 426.54 and 207.50 is: 310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.66 : 426.54 = 207.50 : x
  2. Step 2: Convert to fraction form
    284.66/426.54 = 207.50/x
  3. Step 3: Cross multiply
    284.66x = 426.54 × 207.50
  4. Step 4: Simplify right side
    284.66x = 88,507.05
  5. Step 5: Solve for x
    x = 88,507.05/284.66
  6. Step 6: Final answer
    x = 310.92

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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.