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Finding the Fourth Proportional to 302.22, 455.65 and 275.49

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Solution

The fourth proportional to 302.22, 455.65 and 275.49 is: 415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.22 : 455.65 = 275.49 : x
  2. Step 2: Convert to fraction form
    302.22/455.65 = 275.49/x
  3. Step 3: Cross multiply
    302.22x = 455.65 × 275.49
  4. Step 4: Simplify right side
    302.22x = 125,526.33
  5. Step 5: Solve for x
    x = 125,526.33/302.22
  6. Step 6: Final answer
    x = 415.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.