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Finding the Fourth Proportional to 486.36, 730.80 and 365.40

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Solution

The fourth proportional to 486.36, 730.80 and 365.40 is: 549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.36 : 730.80 = 365.40 : x
  2. Step 2: Convert to fraction form
    486.36/730.80 = 365.40/x
  3. Step 3: Cross multiply
    486.36x = 730.80 × 365.40
  4. Step 4: Simplify right side
    486.36x = 267,034.32
  5. Step 5: Solve for x
    x = 267,034.32/486.36
  6. Step 6: Final answer
    x = 549.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.