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Finding the Fourth Proportional to 301.35, 417.77 and 284.93

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Solution

The fourth proportional to 301.35, 417.77 and 284.93 is: 394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.35 : 417.77 = 284.93 : x
  2. Step 2: Convert to fraction form
    301.35/417.77 = 284.93/x
  3. Step 3: Cross multiply
    301.35x = 417.77 × 284.93
  4. Step 4: Simplify right side
    301.35x = 119,031.69
  5. Step 5: Solve for x
    x = 119,031.69/301.35
  6. Step 6: Final answer
    x = 394.99

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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.