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Finding the Fourth Proportional to 440.30, 663.48 and 364.95

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Solution

The fourth proportional to 440.30, 663.48 and 364.95 is: 549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.30 : 663.48 = 364.95 : x
  2. Step 2: Convert to fraction form
    440.30/663.48 = 364.95/x
  3. Step 3: Cross multiply
    440.30x = 663.48 × 364.95
  4. Step 4: Simplify right side
    440.30x = 242,137.03
  5. Step 5: Solve for x
    x = 242,137.03/440.30
  6. Step 6: Final answer
    x = 549.93

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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.