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Finding the Fourth Proportional to 441.40, 661.68 and 152.76

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Solution

The fourth proportional to 441.40, 661.68 and 152.76 is: 228.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.40 : 661.68 = 152.76 : x
  2. Step 2: Convert to fraction form
    441.40/661.68 = 152.76/x
  3. Step 3: Cross multiply
    441.40x = 661.68 × 152.76
  4. Step 4: Simplify right side
    441.40x = 101,078.24
  5. Step 5: Solve for x
    x = 101,078.24/441.40
  6. Step 6: Final answer
    x = 228.99

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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.