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Finding the Fourth Proportional to 368.13, 549.72 and 364.08

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Solution

The fourth proportional to 368.13, 549.72 and 364.08 is: 543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.13 : 549.72 = 364.08 : x
  2. Step 2: Convert to fraction form
    368.13/549.72 = 364.08/x
  3. Step 3: Cross multiply
    368.13x = 549.72 × 364.08
  4. Step 4: Simplify right side
    368.13x = 200,142.06
  5. Step 5: Solve for x
    x = 200,142.06/368.13
  6. Step 6: Final answer
    x = 543.67

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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.