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Finding the Fourth Proportional to 660.16, 911 and 361.40

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Solution

The fourth proportional to 660.16, 911 and 361.40 is: 498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.16 : 911 = 361.40 : x
  2. Step 2: Convert to fraction form
    660.16/911 = 361.40/x
  3. Step 3: Cross multiply
    660.16x = 911 × 361.40
  4. Step 4: Simplify right side
    660.16x = 329,235.40
  5. Step 5: Solve for x
    x = 329,235.40/660.16
  6. Step 6: Final answer
    x = 498.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.