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Finding the Fourth Proportional to 302.60, 417.52 and 186.16

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Solution

The fourth proportional to 302.60, 417.52 and 186.16 is: 256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.60 : 417.52 = 186.16 : x
  2. Step 2: Convert to fraction form
    302.60/417.52 = 186.16/x
  3. Step 3: Cross multiply
    302.60x = 417.52 × 186.16
  4. Step 4: Simplify right side
    302.60x = 77,725.52
  5. Step 5: Solve for x
    x = 77,725.52/302.60
  6. Step 6: Final answer
    x = 256.86

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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.