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Finding the Fourth Proportional to 284.23, 426.30 and 101.59

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Solution

The fourth proportional to 284.23, 426.30 and 101.59 is: 152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.23 : 426.30 = 101.59 : x
  2. Step 2: Convert to fraction form
    284.23/426.30 = 101.59/x
  3. Step 3: Cross multiply
    284.23x = 426.30 × 101.59
  4. Step 4: Simplify right side
    284.23x = 43,307.82
  5. Step 5: Solve for x
    x = 43,307.82/284.23
  6. Step 6: Final answer
    x = 152.37

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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.