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Finding the Fourth Proportional to 302.76, 415.04 and 297.24

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Solution

The fourth proportional to 302.76, 415.04 and 297.24 is: 407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.76 : 415.04 = 297.24 : x
  2. Step 2: Convert to fraction form
    302.76/415.04 = 297.24/x
  3. Step 3: Cross multiply
    302.76x = 415.04 × 297.24
  4. Step 4: Simplify right side
    302.76x = 123,365.00
  5. Step 5: Solve for x
    x = 123,365.00/302.76
  6. Step 6: Final answer
    x = 407.47

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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.