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Finding the Fourth Proportional to 364.76, 549.28 and 262.75

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Solution

The fourth proportional to 364.76, 549.28 and 262.75 is: 395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.76 : 549.28 = 262.75 : x
  2. Step 2: Convert to fraction form
    364.76/549.28 = 262.75/x
  3. Step 3: Cross multiply
    364.76x = 549.28 × 262.75
  4. Step 4: Simplify right side
    364.76x = 144,323.32
  5. Step 5: Solve for x
    x = 144,323.32/364.76
  6. Step 6: Final answer
    x = 395.67

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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.