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Finding the Fourth Proportional to 301.55, 416.21 and 203.40

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Solution

The fourth proportional to 301.55, 416.21 and 203.40 is: 280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.55 : 416.21 = 203.40 : x
  2. Step 2: Convert to fraction form
    301.55/416.21 = 203.40/x
  3. Step 3: Cross multiply
    301.55x = 416.21 × 203.40
  4. Step 4: Simplify right side
    301.55x = 84,656.10
  5. Step 5: Solve for x
    x = 84,656.10/301.55
  6. Step 6: Final answer
    x = 280.74

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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.