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Finding the Fourth Proportional to 418.56, 630.30 and 365.10

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Solution

The fourth proportional to 418.56, 630.30 and 365.10 is: 549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.56 : 630.30 = 365.10 : x
  2. Step 2: Convert to fraction form
    418.56/630.30 = 365.10/x
  3. Step 3: Cross multiply
    418.56x = 630.30 × 365.10
  4. Step 4: Simplify right side
    418.56x = 230,122.53
  5. Step 5: Solve for x
    x = 230,122.53/418.56
  6. Step 6: Final answer
    x = 549.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.