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Finding the Fourth Proportional to 306.63, 462.62 and 291.45

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Solution

The fourth proportional to 306.63, 462.62 and 291.45 is: 439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.63 : 462.62 = 291.45 : x
  2. Step 2: Convert to fraction form
    306.63/462.62 = 291.45/x
  3. Step 3: Cross multiply
    306.63x = 462.62 × 291.45
  4. Step 4: Simplify right side
    306.63x = 134,829.14
  5. Step 5: Solve for x
    x = 134,829.14/306.63
  6. Step 6: Final answer
    x = 439.71

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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.