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Finding the Fourth Proportional to 440.09, 660.14 and 302.72

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Solution

The fourth proportional to 440.09, 660.14 and 302.72 is: 454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.09 : 660.14 = 302.72 : x
  2. Step 2: Convert to fraction form
    440.09/660.14 = 302.72/x
  3. Step 3: Cross multiply
    440.09x = 660.14 × 302.72
  4. Step 4: Simplify right side
    440.09x = 199,832.77
  5. Step 5: Solve for x
    x = 199,832.77/440.09
  6. Step 6: Final answer
    x = 454.08

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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.