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Finding the Fourth Proportional to 423.16, 583.98 and 275.92

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Solution

The fourth proportional to 423.16, 583.98 and 275.92 is: 380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 583.98 = 275.92 : x
  2. Step 2: Convert to fraction form
    423.16/583.98 = 275.92/x
  3. Step 3: Cross multiply
    423.16x = 583.98 × 275.92
  4. Step 4: Simplify right side
    423.16x = 161,131.76
  5. Step 5: Solve for x
    x = 161,131.76/423.16
  6. Step 6: Final answer
    x = 380.78

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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.