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Finding the Fourth Proportional to 284.31, 423.50 and 280.53

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Solution

The fourth proportional to 284.31, 423.50 and 280.53 is: 417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.31 : 423.50 = 280.53 : x
  2. Step 2: Convert to fraction form
    284.31/423.50 = 280.53/x
  3. Step 3: Cross multiply
    284.31x = 423.50 × 280.53
  4. Step 4: Simplify right side
    284.31x = 118,803.05
  5. Step 5: Solve for x
    x = 118,803.05/284.31
  6. Step 6: Final answer
    x = 417.86

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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.