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Finding the Fourth Proportional to 302.89, 417.66 and 285.58

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Solution

The fourth proportional to 302.89, 417.66 and 285.58 is: 393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.89 : 417.66 = 285.58 : x
  2. Step 2: Convert to fraction form
    302.89/417.66 = 285.58/x
  3. Step 3: Cross multiply
    302.89x = 417.66 × 285.58
  4. Step 4: Simplify right side
    302.89x = 119,274.85
  5. Step 5: Solve for x
    x = 119,274.85/302.89
  6. Step 6: Final answer
    x = 393.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.