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Finding the Fourth Proportional to 282.62, 423.88 and 152.56

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Solution

The fourth proportional to 282.62, 423.88 and 152.56 is: 228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.62 : 423.88 = 152.56 : x
  2. Step 2: Convert to fraction form
    282.62/423.88 = 152.56/x
  3. Step 3: Cross multiply
    282.62x = 423.88 × 152.56
  4. Step 4: Simplify right side
    282.62x = 64,667.13
  5. Step 5: Solve for x
    x = 64,667.13/282.62
  6. Step 6: Final answer
    x = 228.81

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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.