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Finding the Fourth Proportional to 328.57, 491.02 and 267.77

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Solution

The fourth proportional to 328.57, 491.02 and 267.77 is: 400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.57 : 491.02 = 267.77 : x
  2. Step 2: Convert to fraction form
    328.57/491.02 = 267.77/x
  3. Step 3: Cross multiply
    328.57x = 491.02 × 267.77
  4. Step 4: Simplify right side
    328.57x = 131,480.43
  5. Step 5: Solve for x
    x = 131,480.43/328.57
  6. Step 6: Final answer
    x = 400.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.