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Finding the Fourth Proportional to 661.26, 912.55 and 366.55

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Solution

The fourth proportional to 661.26, 912.55 and 366.55 is: 505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.26 : 912.55 = 366.55 : x
  2. Step 2: Convert to fraction form
    661.26/912.55 = 366.55/x
  3. Step 3: Cross multiply
    661.26x = 912.55 × 366.55
  4. Step 4: Simplify right side
    661.26x = 334,488.81
  5. Step 5: Solve for x
    x = 334,488.81/661.26
  6. Step 6: Final answer
    x = 505.84

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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.