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Finding the Fourth Proportional to 302.16, 451.96 and 186.32

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Solution

The fourth proportional to 302.16, 451.96 and 186.32 is: 278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.16 : 451.96 = 186.32 : x
  2. Step 2: Convert to fraction form
    302.16/451.96 = 186.32/x
  3. Step 3: Cross multiply
    302.16x = 451.96 × 186.32
  4. Step 4: Simplify right side
    302.16x = 84,209.19
  5. Step 5: Solve for x
    x = 84,209.19/302.16
  6. Step 6: Final answer
    x = 278.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.