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Finding the Fourth Proportional to 277.40, 382.80 and 153.04

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Solution

The fourth proportional to 277.40, 382.80 and 153.04 is: 211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.40 : 382.80 = 153.04 : x
  2. Step 2: Convert to fraction form
    277.40/382.80 = 153.04/x
  3. Step 3: Cross multiply
    277.40x = 382.80 × 153.04
  4. Step 4: Simplify right side
    277.40x = 58,582.95
  5. Step 5: Solve for x
    x = 58,582.95/277.40
  6. Step 6: Final answer
    x = 211.19

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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.