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Finding the Fourth Proportional to 366.16, 549.24 and 305.16

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Solution

The fourth proportional to 366.16, 549.24 and 305.16 is: 457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.16 : 549.24 = 305.16 : x
  2. Step 2: Convert to fraction form
    366.16/549.24 = 305.16/x
  3. Step 3: Cross multiply
    366.16x = 549.24 × 305.16
  4. Step 4: Simplify right side
    366.16x = 167,606.08
  5. Step 5: Solve for x
    x = 167,606.08/366.16
  6. Step 6: Final answer
    x = 457.74

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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.