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Finding the Fourth Proportional to 366.40, 549.96 and 365.08

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Solution

The fourth proportional to 366.40, 549.96 and 365.08 is: 547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.40 : 549.96 = 365.08 : x
  2. Step 2: Convert to fraction form
    366.40/549.96 = 365.08/x
  3. Step 3: Cross multiply
    366.40x = 549.96 × 365.08
  4. Step 4: Simplify right side
    366.40x = 200,779.40
  5. Step 5: Solve for x
    x = 200,779.40/366.40
  6. Step 6: Final answer
    x = 547.98

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Why These Related Problems?

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