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Finding the Fourth Proportional to 383.66, 572.76 and 370.16

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Solution

The fourth proportional to 383.66, 572.76 and 370.16 is: 552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.66 : 572.76 = 370.16 : x
  2. Step 2: Convert to fraction form
    383.66/572.76 = 370.16/x
  3. Step 3: Cross multiply
    383.66x = 572.76 × 370.16
  4. Step 4: Simplify right side
    383.66x = 212,010.99
  5. Step 5: Solve for x
    x = 212,010.99/383.66
  6. Step 6: Final answer
    x = 552.60

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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.