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Finding the Fourth Proportional to 423.21, 583.86 and 265.78

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Solution

The fourth proportional to 423.21, 583.86 and 265.78 is: 366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.21 : 583.86 = 265.78 : x
  2. Step 2: Convert to fraction form
    423.21/583.86 = 265.78/x
  3. Step 3: Cross multiply
    423.21x = 583.86 × 265.78
  4. Step 4: Simplify right side
    423.21x = 155,178.31
  5. Step 5: Solve for x
    x = 155,178.31/423.21
  6. Step 6: Final answer
    x = 366.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.