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Finding the Fourth Proportional to 302.12, 454.97 and 264.06

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Solution

The fourth proportional to 302.12, 454.97 and 264.06 is: 397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.12 : 454.97 = 264.06 : x
  2. Step 2: Convert to fraction form
    302.12/454.97 = 264.06/x
  3. Step 3: Cross multiply
    302.12x = 454.97 × 264.06
  4. Step 4: Simplify right side
    302.12x = 120,139.38
  5. Step 5: Solve for x
    x = 120,139.38/302.12
  6. Step 6: Final answer
    x = 397.65

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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.