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Finding the Fourth Proportional to 302.67, 414.99 and 287.01

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Solution

The fourth proportional to 302.67, 414.99 and 287.01 is: 393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.67 : 414.99 = 287.01 : x
  2. Step 2: Convert to fraction form
    302.67/414.99 = 287.01/x
  3. Step 3: Cross multiply
    302.67x = 414.99 × 287.01
  4. Step 4: Simplify right side
    302.67x = 119,106.28
  5. Step 5: Solve for x
    x = 119,106.28/302.67
  6. Step 6: Final answer
    x = 393.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.