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Finding the Fourth Proportional to 302.00, 416.56 and 207.42

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Solution

The fourth proportional to 302.00, 416.56 and 207.42 is: 286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.00 : 416.56 = 207.42 : x
  2. Step 2: Convert to fraction form
    302.00/416.56 = 207.42/x
  3. Step 3: Cross multiply
    302.00x = 416.56 × 207.42
  4. Step 4: Simplify right side
    302.00x = 86,404.70
  5. Step 5: Solve for x
    x = 86,404.70/302.00
  6. Step 6: Final answer
    x = 286.11

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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.