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Finding the Fourth Proportional to 309.88, 462.29 and 285.58

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Solution

The fourth proportional to 309.88, 462.29 and 285.58 is: 426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.88 : 462.29 = 285.58 : x
  2. Step 2: Convert to fraction form
    309.88/462.29 = 285.58/x
  3. Step 3: Cross multiply
    309.88x = 462.29 × 285.58
  4. Step 4: Simplify right side
    309.88x = 132,020.78
  5. Step 5: Solve for x
    x = 132,020.78/309.88
  6. Step 6: Final answer
    x = 426.04

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