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Finding the Fourth Proportional to 426.47, 639.73 and 152.56

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Solution

The fourth proportional to 426.47, 639.73 and 152.56 is: 228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.47 : 639.73 = 152.56 : x
  2. Step 2: Convert to fraction form
    426.47/639.73 = 152.56/x
  3. Step 3: Cross multiply
    426.47x = 639.73 × 152.56
  4. Step 4: Simplify right side
    426.47x = 97,597.21
  5. Step 5: Solve for x
    x = 97,597.21/426.47
  6. Step 6: Final answer
    x = 228.85

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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.