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Finding the Fourth Proportional to 186.84, 278.52 and 176.48

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Solution

The fourth proportional to 186.84, 278.52 and 176.48 is: 263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.84 : 278.52 = 176.48 : x
  2. Step 2: Convert to fraction form
    186.84/278.52 = 176.48/x
  3. Step 3: Cross multiply
    186.84x = 278.52 × 176.48
  4. Step 4: Simplify right side
    186.84x = 49,153.21
  5. Step 5: Solve for x
    x = 49,153.21/186.84
  6. Step 6: Final answer
    x = 263.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.