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Finding the Fourth Proportional to 423.08, 583.96 and 275.72

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Solution

The fourth proportional to 423.08, 583.96 and 275.72 is: 380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.08 : 583.96 = 275.72 : x
  2. Step 2: Convert to fraction form
    423.08/583.96 = 275.72/x
  3. Step 3: Cross multiply
    423.08x = 583.96 × 275.72
  4. Step 4: Simplify right side
    423.08x = 161,009.45
  5. Step 5: Solve for x
    x = 161,009.45/423.08
  6. Step 6: Final answer
    x = 380.57

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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.