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Finding the Fourth Proportional to 383.40, 572.67 and 275.13

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Solution

The fourth proportional to 383.40, 572.67 and 275.13 is: 410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.40 : 572.67 = 275.13 : x
  2. Step 2: Convert to fraction form
    383.40/572.67 = 275.13/x
  3. Step 3: Cross multiply
    383.40x = 572.67 × 275.13
  4. Step 4: Simplify right side
    383.40x = 157,558.70
  5. Step 5: Solve for x
    x = 157,558.70/383.40
  6. Step 6: Final answer
    x = 410.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.