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Finding the Fourth Proportional to 301.30, 414.75 and 285.10

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Solution

The fourth proportional to 301.30, 414.75 and 285.10 is: 392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.30 : 414.75 = 285.10 : x
  2. Step 2: Convert to fraction form
    301.30/414.75 = 285.10/x
  3. Step 3: Cross multiply
    301.30x = 414.75 × 285.10
  4. Step 4: Simplify right side
    301.30x = 118,245.23
  5. Step 5: Solve for x
    x = 118,245.23/301.30
  6. Step 6: Final answer
    x = 392.45

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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.