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Finding the Fourth Proportional to 302.35, 419.15 and 285.93

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Solution

The fourth proportional to 302.35, 419.15 and 285.93 is: 396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.35 : 419.15 = 285.93 : x
  2. Step 2: Convert to fraction form
    302.35/419.15 = 285.93/x
  3. Step 3: Cross multiply
    302.35x = 419.15 × 285.93
  4. Step 4: Simplify right side
    302.35x = 119,847.56
  5. Step 5: Solve for x
    x = 119,847.56/302.35
  6. Step 6: Final answer
    x = 396.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.