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Finding the Fourth Proportional to 302.46, 451.82 and 291.66

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Solution

The fourth proportional to 302.46, 451.82 and 291.66 is: 435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.46 : 451.82 = 291.66 : x
  2. Step 2: Convert to fraction form
    302.46/451.82 = 291.66/x
  3. Step 3: Cross multiply
    302.46x = 451.82 × 291.66
  4. Step 4: Simplify right side
    302.46x = 131,777.82
  5. Step 5: Solve for x
    x = 131,777.82/302.46
  6. Step 6: Final answer
    x = 435.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.