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Finding the Fourth Proportional to 284.23, 426.43 and 101.64

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Solution

The fourth proportional to 284.23, 426.43 and 101.64 is: 152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.23 : 426.43 = 101.64 : x
  2. Step 2: Convert to fraction form
    284.23/426.43 = 101.64/x
  3. Step 3: Cross multiply
    284.23x = 426.43 × 101.64
  4. Step 4: Simplify right side
    284.23x = 43,341.10
  5. Step 5: Solve for x
    x = 43,341.10/284.23
  6. Step 6: Final answer
    x = 152.49

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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.