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Finding the Fourth Proportional to 302.86, 417.95 and 186.42

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Solution

The fourth proportional to 302.86, 417.95 and 186.42 is: 257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.86 : 417.95 = 186.42 : x
  2. Step 2: Convert to fraction form
    302.86/417.95 = 186.42/x
  3. Step 3: Cross multiply
    302.86x = 417.95 × 186.42
  4. Step 4: Simplify right side
    302.86x = 77,914.87
  5. Step 5: Solve for x
    x = 77,914.87/302.86
  6. Step 6: Final answer
    x = 257.26

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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.